Question

If a = 3 - 2 root 2 , then find the value of a^2 - 1/ a^2.

Answer 1

Answer:

-24√2

Step-by-step explanation:

given, a = 3 - 2√2

=> 1/a = 1/(3 - 2√2) = 3 + 2√2 (after rationalisation)

a² ⁻ 1/a² = a² - (1/a)² = (3 - 2√2)² - (3 + 2√2)² = -24√2