Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

I f space space a space equals fraction numerator 1 over denominator 7 minus 4 square root of 3 end fraction space a n d space space b equals fraction numerator 1 over denominator 7 plus 4 square root of 3 end fraction space space comma space f i n d space t h e space v a l u e space space o f space 1 right parenthesis space a squared plus b to the power of 2 to the power of blank end exponent space comma space 2 right parenthesis space a cubed plus b cubed
Asked by kishor.kp14 | 21 Jun, 2019, 02:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight a space equals space fraction numerator 1 over denominator 7 space minus space 4 square root of 3 end fraction space and space straight b space equals space fraction numerator 1 over denominator 7 space plus space 4 square root of 3 end fraction straight a space equals space fraction numerator 1 over denominator 7 space minus space 4 square root of 3 end fraction cross times space fraction numerator 7 space plus space 4 square root of 3 over denominator 7 space plus space 4 square root of 3 end fraction space space space space space space space space space space space space space..... space Rationalising space space space equals space fraction numerator 7 space plus space 4 square root of 3 over denominator 7 squared space minus space open parentheses 4 square root of 3 close parentheses squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 7 space plus space 4 square root of 3 over denominator 49 space minus space 48 end fraction space space space equals space 7 space plus space 4 square root of 3 space space straight b space equals space fraction numerator 1 over denominator 7 space plus space 4 square root of 3 end fraction cross times space fraction numerator 7 space minus space 4 square root of 3 over denominator 7 space minus space 4 square root of 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space..... space Rationalising space space space equals space fraction numerator 7 space plus space 4 square root of 3 over denominator 7 squared space minus space open parentheses 4 square root of 3 close parentheses squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space... space since left parenthesis straight a space minus space straight b right parenthesis space left parenthesis straight a space plus space straight b right parenthesis space equals space straight a squared space minus space straight b squared space space space equals space fraction numerator 7 space minus space 4 square root of 3 over denominator 49 space minus space 48 end fraction space space space equals space 7 space minus space 4 square root of 3 space space space space 1 right parenthesis straight a squared plus space straight b squared space equals space left parenthesis straight a space plus space straight b right parenthesis squared minus space 2 ab space space space space space space space space space space space space space equals open parentheses 7 space plus space 4 square root of 3 space plus space 7 space minus space 4 square root of 3 close parentheses squared space space minus space 2 space cross times open parentheses 7 space plus space 4 square root of 3 close parentheses open parentheses 7 space minus space 4 square root of 3 close parentheses space space space space space space space space space space space space space equals 14 squared space minus space 2 left parenthesis 49 space minus space 48 right parenthesis space space space space space space space space space space space space space equals 196 minus space 2 space space space space space space space space space space space space space equals 194 space space 2 right parenthesis straight a cubed plus space straight b cubed space equals space left parenthesis straight a space plus space straight b right parenthesis cubed minus space 3 ab open parentheses straight a space plus space straight b close parentheses space space space space space space space space space space space space equals space open parentheses 7 space plus space 4 square root of 3 space plus space 7 space minus space 4 square root of 3 close parentheses cubed space minus space 3 space cross times space open parentheses 7 space plus space 4 square root of 3 close parentheses open parentheses 7 space plus space 4 square root of 3 close parentheses open parentheses space 7 space plus space 4 square root of 3 plus space space 7 space minus space 4 square root of 3 close parentheses space space space space space space space space space space space space equals space 14 cubed space minus space 3 left parenthesis 49 space minus space 28 right parenthesis left parenthesis 14 right parenthesis space space space space space space space space space space space space equals space 2744 space minus space 42 space space space space space space space space space space space space equals space 2702 end style
Answered by Yasmeen Khan | 21 Jun, 2019, 05:16: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
3√5+√3/√5-√3
Asked by gulshanelectronics2017 | 15 Apr, 2024, 05:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
locate √2 on number line
Asked by rathoreraj7296 | 31 Mar, 2024, 08:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Rationalize the denomination of √3+√2 /√3-√2
Asked by gurucharansingh19975 | 23 Feb, 2024, 09:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Which is greater 17½-12½ or 11½-6½
Asked by priyadarshjagarwal | 04 Jun, 2023, 03:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
If sqrt(2) = 1.414 then sqrt(3 + 2sqrt(2)) is equal to
question image
Asked by surenderjangada | 12 Apr, 2023, 04:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
the diameter of moon is approximately one-fourth of the diameter of the earth.what fraction of the volume of the earth is the volume of the moon?
Asked by rajeshporwal02 | 07 Jan, 2023, 07:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if x =3root 8 and y=3root 8 1upon xsquare
Asked by yadram9728853493 | 25 Jun, 2022, 11:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
what is root 2 multiply root 2
Asked by devenderjuneja7 | 20 Jun, 2022, 02:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find two irrational numbers between 2/3 and 2.
Asked by jeshikamakwana190 | 04 May, 2022, 10:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
3√12 multiply 6√4
Asked by hsavithri1988 | 27 Oct, 2021, 07:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×