\(\frac{1}{\sqrt9-\sqrt8}\) is equal toA. 3 + 2√2B. \(\frac{1}{3+2

1.	\(\frac{1}{\sqrt9-\sqrt8}\) is equal toA. 3 + 2√2B. \(\frac{1}{3+2\sqrt2}\)C. 3 - 2√2D. \(\frac{3}{2}\) - √2
Answer» \(\frac{1}{\sqrt9-\sqrt8}\) = \(\frac{1}{\sqrt9-\sqrt8}\) × \(\frac{\sqrt9 + \sqrt8}{\sqrt9+\sqrt8}\) = √9 + √8 = 3 + 2√2

\(\frac{1}{\sqrt9-\sqrt8}\) is equal toA. 3 + 2√2B. \(\frac{1}{3+2\sqrt2}\)C. 3 - 2√2D. \(\frac{3}{2}\) - √2

Answer»

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

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

= √9 + √8 = 3 + 2√2

The simplest rationalising factor of 2√5 - √3 isA. 2√5 + 3B. 2√5 + C. √5 + √3D. √5 - √3
The simplest rationalising factor of √3+ √5 isA. √3 - 5B. 3 - √5C. √3 - √5D. √3 + √5
Simplify:(√8 – √2) (√8 + √2)
Simplify each of the following:(i) \(\sqrt[3]{4}\) x \(\sqrt[3]{16}\)(ii) \(\frac{\sqrt[4]{1250}}{\sqrt[4]{2}}\)
Simplify:(3 + √3)(5 - √2)
Simplify:(3 + √3) (3 – √3)
Simplify:(4 + √7) (3 + √2)
Simplify:(√5 – √2) (√5 + √2)
Simplify:(√3 + √7)2
Simplify:(√5 – √3)2.