Question

If x = 1/(√2-1), then x + 1/x =

Answer 1

Answer:

1/(√2-1) + (√2-1)

Answer 2

Answer:

if x = 1/(√2-1)

then x + 1/x = 1/(√2-1) + 1/1/(√2-1)

= 1/(√2-1) + 1×(√2-1)

=1/(√2-1)+ (√2-1)

= 1+(√2-1)²/(√2-1)

=1+{(√2)²-2.√2.1+1²}/(√2-1)

=1+2-2√2+1/(√2-1)

=4-2√2/(√2-1)