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Irrational Numbers Free Doubts and Solutions

CBSE - IX - Mathematics - Number System

square root of 7 plus square root of 48 space end root end root equals square root of m plus square root of n
t h e n space m squared plus n squared equals ?

Asked by 367148347185955 23rd November 2018, 2:45 PM
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CBSE - IX - Mathematics - Number System

If P equals 2 square root of 7 minus 3 square root of 3 space and Q equals space 1 over P , then find the value of P to the power of 4 minus Q to the power of 4

A) 2110 square root of 3

B)negative 1440 square root of 7

C) 2210 square root of 7

D) negative 2640 square root of 21

Asked by adalroshan2464 14th November 2018, 6:26 PM
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CBSE - IX - Mathematics - Number System

If pqr=1, then find the value of 

open parentheses fraction numerator 1 over denominator 1 plus p plus q to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus q plus r to the power of negative 1 end exponent end fraction plus fraction numerator 1 over denominator 1 plus r plus p to the power of negative 1 end exponent end fraction close parentheses

A) pq+qr+rp

B) 1

C) pq+qr

D) bevelled fraction numerator p over denominator q space space end fraction

Asked by adalroshan2464 14th November 2018, 5:49 PM
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CBSE - IX - Mathematics - Number System

Simplify:  left parenthesis square root of 20 space plus square root of 1125 minus square root of 567 right parenthesis left parenthesis square root of 500 plus square root of 245 plus 9 square root of 7 right parenthesis end root

A) 2012

B) 878

C)1445

D) 567

Asked by adalroshan2464 14th November 2018, 5:41 PM
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CBSE - IX - Mathematics - Number System

Evaluate root10*root15

Asked by Muruga 8th March 2018, 3:35 PM
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CBSE - IX - Mathematics - Number System

Find the square root:14+6√5  

Asked by ashutoshtaparia53 27th February 2018, 9:50 PM
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CBSE - IX - Mathematics - Number System

Show root 5 and 7 on number lili 

Asked by ayushraj0911 9th February 2018, 7:37 PM
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CBSE - IX - Mathematics - Number System

If√2=1.4142,then find the value of√√2-1/√2+1

Asked by ABHILASHA 21st January 2018, 9:29 PM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 15th January 2018, 3:09 PM
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CBSE - IX - Mathematics - Number System

Which of the following surds is greatest in magnitude?
sixth root of 17, root 2, twelfth root of 25, cube root of 4

Asked by aahnik.mohanty 27th November 2017, 8:09 PM
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CBSE - IX - Mathematics - Number System


Identify whether is a rational or an irrational number.

Asked by Topperlearning User 28th July 2017, 9:06 AM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 28th July 2017, 9:06 AM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 28th July 2017, 9:05 AM
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CBSE - IX - Mathematics - Number System

Identify the following as rational or irrational.

  begin mathsize 12px style square root of 9 over 27 end root end style

Asked by Topperlearning User 28th July 2017, 9:04 AM
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CBSE - IX - Mathematics - Number System

Identify the following as rational or irrational. Give the decimal representation of the number: begin mathsize 12px style 3 square root of 18 end style

Asked by Topperlearning User 28th July 2017, 9:03 AM
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CBSE - IX - Mathematics - Number System

Show that the irrational numbers and lie between 2 and 3.

Asked by Topperlearning User 28th July 2017, 8:57 AM
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CBSE - IX - Mathematics - Number System

Find one irrational number between 3 and 4.

Asked by Topperlearning User 28th July 2017, 8:56 AM
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CBSE - IX - Mathematics - Number System

Please answer given question

Asked by Topperlearning User 28th July 2017, 8:56 AM
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CBSE - IX - Mathematics - Number System

Find an irrational number between begin mathsize 12px style 1 over 7 end style and begin mathsize 12px style 2 over 7 end style

Asked by Topperlearning User 28th July 2017, 8:55 AM
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CBSE - IX - Mathematics - Number System

What are irrational number

Asked by motihari 17th June 2017, 7:31 AM
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CBSE - IX - Mathematics - Number System

Express 0.999......in the form of p/q.why the answer makes sense .
 

Asked by ABHILASHA 14th April 2017, 8:09 PM
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CBSE - IX - Mathematics - Number System

how to irrational numbers on numberline
 

Asked by Nageshwar 30th March 2017, 6:54 PM
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CBSE - IX - Mathematics - Number System

Give reason why 3.2576 is a rational number

Asked by Aditya Kumar 20th March 2017, 10:38 AM
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CBSE - IX - Mathematics - Number System

<div>Show that&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />7 - &nbsp;3 is irrational</div>

Asked by gpnkumar0 5th September 2016, 8:55 PM
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CBSE - IX - Mathematics - Number System

5+root 11/3+2 root 11=a+(b root 11)

Asked by Aashna 25th May 2016, 8:24 PM
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CBSE - IX - Mathematics - Number System

<div>Simplify: &nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=79a4a7e537c7806079ff97c9611c21e7.png" alt="square root of 3 plus 2 square root of 2 end root" align="middle" /></div>

Asked by Nandish 7th May 2016, 6:35 PM
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CBSE - IX - Mathematics - Number System

sir, how to represent many irrational numbers on the same number line?
 

Asked by Crystal 5th April 2016, 8:56 PM
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CBSE - IX - Mathematics - Number System

sum of two irrational numbers whose product is a rational number

Asked by sanjeev.mami 30th September 2015, 8:32 PM
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CBSE - IX - Mathematics - Number System

<div>I want to know that how&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=0e03aee651ebc79d708627d9a16b6710.png" alt="pi" align="middle" />&nbsp;is irrational and 22/7 is rational ?</div>

Asked by prakritiprakash12 7th June 2015, 8:05 AM
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CBSE - IX - Mathematics - Number System

<div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=11fbc5418594b8a1f62d66f4211f2c19.png" alt="Syntax error from line 1 column 49 to line 1 column 73. Unexpected '&lt;mstyle '." align="middle" /></div>

Asked by deepa1973 14th September 2014, 2:18 PM
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CBSE - IX - Mathematics - Number System

what are surds?
 
 

Asked by kaushal_012 30th August 2014, 8:49 PM
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CBSE - IX - Mathematics - Number System

solve:

1/(√3+√5-√7)

Asked by rkjha_in 21st August 2014, 8:32 PM
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CBSE - IX - Mathematics - Number System

Instead of dividing and finding the r nos between  we can multiply it and find out 

Asked by Shashank.bala 8th August 2014, 7:51 AM
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CBSE - IX - Mathematics - Number System

sum of irrational number & rational number needn't be a irrational number.

Asked by Ayan 28th July 2014, 3:51 PM
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CBSE - IX - Mathematics - Number System

<div> <ul> <li>evalute&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />5<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6970a2e8d126b43aace4050761d91989.png" alt="plus" align="middle" />2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />6 first sq root for allthe nos, &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; here i splited 5 in to 2 and 3 since 3<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c0c48ee878456ca4bd03e7b260cecd15.png" alt="cross times" align="middle" />2=6 and expression became&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3+2+2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c0c48ee878456ca4bd03e7b260cecd15.png" alt="cross times" align="middle" />2 again first sq root s for all the nos.,then this expression becomes whole sq root of<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3+<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />2 using (a+b)whole square but since a+b s possitive addn s commutative it s possible when it s (a-b) whole sq i.d how we ll decide which no. has to be taken first</li> </ul> </div>

Asked by vijayalqakshmi muralidhar 22nd July 2014, 1:14 PM
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CBSE - IX - Mathematics - Number System

<div> <ul> <li>evalute&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />5<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6970a2e8d126b43aace4050761d91989.png" alt="plus" align="middle" />2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />6 first sq root for allthe nos, &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; here i splited 5 in to 2 and 3 since 3<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c0c48ee878456ca4bd03e7b260cecd15.png" alt="cross times" align="middle" />2=6 and expression became&nbsp;<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3+2+2<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c0c48ee878456ca4bd03e7b260cecd15.png" alt="cross times" align="middle" />2 again first sq root s for all the nos.,then this expression becomes whole sq root of<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />3+<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=e6d11f972eb8fb291df0894a6727155e.png" alt="square root of blank end root" align="middle" />2 using (a+b)whole square but since a+b s possitive addn s commutative it s possible when it s (a-b) whole sq i.d how we ll decide which no. has to be taken first</li> </ul> </div>

Asked by vijayalqakshmi muralidhar 22nd July 2014, 1:14 PM
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CBSE - IX - Mathematics - Number System

<div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=0bcb26efa57f107f8f5b75e8cf81a087.png" alt="square root of 125 space divided by square root of 5 end root" align="middle" />&nbsp;solve</div>

Asked by deeptisingh25 28th June 2014, 3:45 PM
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CBSE - IX - Mathematics - Number System

simply question no. 6 of VSAQs of cce formative assesment of chapter no. third, pg no3.16 of RD SHARMA
 

Asked by Prachi Jha 23rd June 2014, 9:50 PM
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CBSE - IX - Mathematics - Number System

can u plz explain me how sum no 11 of RD SHARMA page no3.15 how it can be solved

Asked by Prachi Jha 21st June 2014, 3:39 PM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Evaluate

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Find two rational numbers between and .

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Find three rational numbers between 1 and 3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Number System

how can i prove that  root 7 is an irrational no with method

 

Asked by Prachi Jha 10th May 2014, 7:43 PM
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