Question

if x =1+root 2 find the value of x²--1/x²​

Answer 1

Answer:

Given :-x=1+√2

x^2 -1/x^2=?

substitute 1+√2 instead of x

=(1+√2)^2-1/(1+√2)

=1+2+2√2-1/(1+√2)

=2+2√2/(1+√2)

=Taking 2 as common

=2(1+√2)/(1+√2)

=2

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