Question

State whether the following equality is true or false:

$\frac{2\sqrt{3}}{\sqrt{5}}=$$\frac{2\sqrt{15}}{\sqrt{5}}$

• A. True
• B. False

Answer 1

The correct option is B False

Rationalizing factor of $\frac{2\sqrt{3}}{\sqrt{5}}$ is $\sqrt{5}$

$\therefore \frac{2\sqrt{3}}{\sqrt{5}}$ $=\frac{2\sqrt{3}\times \sqrt{5}}{\sqrt{5}\times \sqrt{5}}$

$=\frac{2\sqrt{15}}{5}$