Question

If n=√2-1,find the value of n2+1/n2​

Answer 1

Answer:

6

Step-by-step explanation:

(root2--1)+1/(root2--1) total square --2 =6

Answer 2

Answer:

We are giving that

n=√2-1

1/n=1/√2-1

by the rationalising the denominator

1/n=1/√2-1×√2+1/√2+1

=√2+1/2-1

=√2+1/1

=√2+1

Now,n²+1/n²=(n+1/n)²-2

=(√2-1+√2+1)²-2

=(2√2)²-2

=8-2

=6