Question

Find x^2-1/x^2 where x= 3+2√2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x is given

1/x=1/[3+2√2]

=1(3-2√2)/[3^2-(2√2)^2]

=(3-2√2)/[9-8]

=3-2√2

(x+1/x)=3+2√2+3-2√2

=6

x-1/x=3+2√2-3+2√2

=4√2

squaring on both the sides

x^2-1/x^2=(x+1/x)(x-1/x)

x^2-1/x^2= (6)*(4√2)

=24√2