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$I f √ 2 equals 1.4142 comma t h e n space f i n d space t h e space v a l u e space o f space square root of √ 2 minus 1 divided by √ 2 space plus 1 end root$

Asked by arundhounchak10074 | 9th Sep, 2018, 12:30: PM

Expert Answer:

$begin mathsize 16px style square root of 2 space equals space 1.4142 square root of fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space plus space 1 end fraction end root space equals space square root of fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space plus space 1 end fraction cross times space fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space minus space 1 end fraction end root space space............... rationalising equals space square root of fraction numerator open parentheses square root of 2 space minus space 1 close parentheses squared over denominator 2 space minus space 1 end fraction end root equals space square root of open parentheses square root of 2 space minus space 1 close parentheses squared end root equals space square root of 2 space minus space 1 equals space space 1.4142 space minus space 1 space space space space space space space space space space space space space space space space...... since comma space square root of 2 space equals space 1.4142 equals space 0.4142 end style$

Answered by Yasmeen Khan | 10th Sep, 2018, 01:04: PM

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