Ask a Doubt
Request a call back

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

ICSE Class 9 Answered

Rationalise the denominator of the expressionfraction numerator 1 over denominator 1 plus square root of 6 minus square root of 2 end fraction
Asked by manvanthchandrashekar15.9spicertl | 10 Jun, 2020, 12:17: PM
answered-by-expert Expert Answer
To rationalize the given expression, we need to multiply and divide it by the conjugate of denominator.
Denominator has the number (1 + sqrt{6}) - sqrt{2}
Its conjugate will be the number (1 + sqrt{6}) + sqrt{2}
Therefore, we have
fraction numerator 1 over denominator 1 plus square root of 6 minus square root of 2 end fraction equals fraction numerator 1 over denominator open parentheses 1 plus square root of 6 close parentheses minus square root of 2 end fraction equals fraction numerator 1 over denominator open parentheses 1 plus square root of 6 close parentheses minus square root of 2 end fraction cross times fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 end fraction equals fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open square brackets open parentheses 1 plus square root of 6 close parentheses minus square root of 2 close square brackets open square brackets open parentheses 1 plus square root of 6 close parentheses plus square root of 2 close square brackets end fraction equals fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open square brackets open parentheses 1 plus square root of 6 close parentheses squared minus open parentheses square root of 2 squared close parentheses close square brackets end fraction equals fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open square brackets 1 plus 6 plus 2 square root of 6 minus 2 close square brackets end fraction equals fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open square brackets 5 plus 2 square root of 6 close square brackets end fraction equals fraction numerator open parentheses 1 plus square root of 6 close parentheses plus square root of 2 over denominator open square brackets 5 plus 2 square root of 6 close square brackets end fraction cross times fraction numerator 5 minus 2 square root of 6 over denominator 5 minus 2 square root of 6 end fraction space space space.... space C o n j u g a t e space o f space 5 plus 2 square root of 6 space i s space 5 minus 2 square root of 6 equals fraction numerator open square brackets open parentheses 1 plus square root of 6 close parentheses plus square root of 2 close square brackets open parentheses 5 minus 2 square root of 6 close parentheses over denominator 25 minus 4 cross times 6 end fraction equals open square brackets open parentheses 5 plus 5 square root of 6 close parentheses plus 5 square root of 2 minus 2 square root of 6 minus 12 minus 4 square root of 3 close square brackets equals 3 square root of 6 plus 5 square root of 2 minus 7 minus 4 square root of 3
Answered by Renu Varma | 10 Jun, 2020, 12:54: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 9 - Maths
Simplify = 17root3 - 2 root 32-3 root 18 - 4root 48
Asked by jyotiharshu1304 | 22 Jul, 2024, 21:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
if a = 2-? 3 find the value of {a-1/a}³
Asked by jatinderkaur19852008 | 19 Mar, 2024, 17:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
2?5+3?2/2?-3?2
Asked by gowthammmi123 | 30 Jan, 2024, 20:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
(3?2-2) whole square
Asked by lateshbala20 | 08 May, 2023, 21:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
math1
question image
Asked by rehankhan | 19 Jan, 2023, 16:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
fraction numerator square root of 3 plus 1 over denominator square root of 3 minus 1 end fraction equals a plus b square root of 3 Rationalize the denominator
Asked by lakshya.gandhi | 27 Sep, 2022, 16:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
can u answer the question  
question image
Asked by siddhudhyan8 | 30 Aug, 2021, 09:31: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Is √180 a surd or not?
Asked by anannadas213 | 22 Apr, 2021, 21:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
express 15 by 56 as a decimal correct to 4 decimal places
Asked by krs1000063429 | 28 Oct, 2020, 12:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
rational and irational number between root 3 and root 5
Asked by konduribhupesh | 29 Jun, 2020, 13:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Are You a Teacher or a Parent Seeking Customised Tests? Click here
×