If x=1 -√2, find the value of 【x-1/x】 root 3

Asked by dharamshitejal | 24th Apr, 2019, 06:35: AM

Expert Answer:

G i v e n colon space x equals 1 minus square root of 2
C o n s i d e r comma
open parentheses x minus 1 over x close parentheses equals fraction numerator x squared minus 1 over denominator x end fraction equals fraction numerator open parentheses 1 minus square root of 2 close parentheses squared minus 1 over denominator 1 minus square root of 2 end fraction equals fraction numerator 1 plus 2 minus 2 square root of 2 minus 1 over denominator 1 minus square root of 2 end fraction equals fraction numerator 2 minus 2 square root of 2 over denominator 1 minus square root of 2 end fraction equals 2
H e n c e comma space open parentheses x minus 1 over x close parentheses square root of 3 equals 2 square root of 3

Answered by Renu Varma | 24th Apr, 2019, 10:14: AM

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