Question

if a = 3-2root2 then,find the value of a^2-1÷a^2

Answer 1

a = 3 - 2√2

1/a = 1/3 - 2√2 * 3+2√2/3+2√2

1/a = 3+2√2

ATQ

(a)^2 -(1/a)^2

=> (3-2√2)^2 - (3+2√2)^2

=> 9+8-12√2-9-8-12√2

=> -24√2