Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Prove that 6 + √3 is irrational.
Asked by susrisangita792 | 06 Apr, 2023, 08:35: PM
answered-by-expert Expert Answer
To prove: 6 + √3 is irrational
Suppose 6 + √3 is a rational number.
rightwards double arrow 6 plus square root of 3 equals straight p over straight q rightwards double arrow square root of 3 equals straight p over straight q minus 6 Subtraction space of space two space rational space numbers space is space rational. rightwards double arrow open parentheses straight p over straight q minus 6 close parentheses space is space rational rightwards double arrow square root of 3 space is space straight a space rational space number comma space which space is space straight a space contradiction So comma space our space assumption space is space wrong. Thus comma space 6 plus square root of 3 space is space an space irrational space number.
Answered by Renu Varma | 10 Apr, 2023, 10:32: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
Prove That Root 5 Is Irrational
Asked by jilsmendapara123 | 28 Jul, 2023, 02:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Show that 2√3 - 5 is irrational.
Asked by susrisangita792 | 24 Apr, 2023, 09:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Prove that the following numbers are irrational: (a) 2 square root of 3 minus 4  (b) fraction numerator 1 over denominator square root of 2 end fraction  (c) square root of 3 plus square root of 5   
question image
Asked by susrisangita792 | 24 Apr, 2023, 03:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Answer the following in one word, one sentence or as per the exact requirement : (a) Let p and q be two distinct prime numbers. Write HCF (p , q). (b) Fill in the blank space in the statement given below : (i) If p be a prime, then √p is _______number. (ii) If p/q is a rational number then p and q are _____ . (c) √27 is an irrational number. Justify the statement.
question image
Asked by susrisangita792 | 23 Apr, 2023, 09:05: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Prove that 6 + √3 is irrational.
Asked by susrisangita792 | 06 Apr, 2023, 08:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The following real numbers have decimal expansions as given below. In each case decide whether they are rational or not. If they are rational and of the form p/q write prime factors of q so that p and q are co-primes. (a) 43.123 (b) 0.120120012000........ (c) 43.123123123123........
Asked by susrisangita792 | 02 Apr, 2023, 11:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve this question urgently :
question image
Asked by savitamahajan202 | 30 Jan, 2023, 02:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve urgently dear experts tick marked :
question image
Asked by savitamahajan202 | 30 Jan, 2023, 01:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve urgently dear experts Tick marked problem :
question image
Asked by savitamahajan202 | 24 Jan, 2023, 12:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve urgently dear experts Q13 tick marked :
question image
Asked by savitamahajan202 | 24 Jan, 2023, 11:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt

Be a Top Scorer in the Exam with Test Series and Test Generator!

Enrol Now
×