Question

If a=3-2√2, find the value of a^2-1/a^2

Answer 1

a= 3-2√2

1/a = 1/3-2√2= 3+2√2/9-8= 3+2√2

a²-1/a²= (a+1/a)(a-1/a)= (6)(-4√2)= -24√2