Question

if x = 3-2√2 find the value of x^2-1/x^2

Answer 1

x=(3-2√2)

1/x=1/(3-2√2)

=(3+2√2)/(3-2√2)(3+2√2)

=(3+2√2)/(3^2-2√2^2)

=(3+2√2)/(9-8)

=3+2√2

x^2-1/x^2

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

=(3-2√2+3+2√2)(3-2√2-3-2√2)

=6(-4√2)

= -24√2