1/(√9 - √8) is equal to A. 3 + 2√2 B. 1/(3 + 2√2) C. 3 - 2√2 D. 3/2 - √2 ​

Question

\(\frac{1}{\sqrt9-\sqrt8}\) is equal to

A. 3 + 2√2

B. \(\frac{1}{3+2\sqrt2}\)

C. 3 - 2√2

D. \(\frac{3}{2}\) - √2

Answer 1

\(\frac{1}{\sqrt9-\sqrt8}\)

= \(\frac{1}{\sqrt9-\sqrt8}\) × \(\frac{\sqrt9 + \sqrt8}{\sqrt9+\sqrt8}\)

= √9 + √8 = 3 + 2√2