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CBSE Class 9 Answered

Examine whether following are rational or irrational (2+root2)^-1/32
Asked by Nimmi | 27 Apr, 2019, 01:32: AM
answered-by-expert Expert Answer
left parenthesis 2 plus square root of 2 right parenthesis to the power of fraction numerator negative 1 over denominator 32 end fraction end exponent
equals fraction numerator 1 over denominator left parenthesis 2 plus square root of 2 right parenthesis to the power of 1 over 32 end exponent end fraction cross times fraction numerator left parenthesis 2 minus square root of 2 right parenthesis to the power of 1 over 32 end exponent over denominator left parenthesis 2 minus square root of 2 right parenthesis to the power of 1 over 32 end exponent end fraction
equals fraction numerator left parenthesis 2 minus square root of 2 right parenthesis to the power of 1 over 32 end exponent over denominator left parenthesis 2 right parenthesis to the power of 1 over 32 end exponent end fraction
equals open parentheses 1 minus fraction numerator 1 over denominator square root of 2 end fraction close parentheses to the power of 1 over 32 end exponent
equals open parentheses fraction numerator square root of 2 minus 1 over denominator square root of 2 end fraction close parentheses to the power of 1 over 32 end exponent
T h i s space i s space a n space i r r a t i o n a l space n u m b e r
Answered by Renu Varma | 27 Apr, 2019, 04:40: PM
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