Question

If a = √2-√3 , find {a-1/a}^3

Answer 1

Answer:

$= > a = \sqrt{2} - \sqrt{3} \\ \\ = > \frac{1}{a} = - \sqrt{2} - \sqrt{3} \\ \\ = > {(a - \frac{1}{a} )}^{3} = {(2 \sqrt{2} )}^{3} = 8 \times \sqrt{8} = 16 \sqrt{2}$