Question

Write the simplest rationalization factor of the following surds :$\frac{3}{5}\sqrt{10}$

• A. $\sqrt{10}$
• B. $\sqrt{2}$
• C. $\sqrt{5}$
• D. $2\sqrt{2}$

Answer 1

The correct option is A $\sqrt{10}$

$\frac{3}{5}\sqrt{10}$
$=\frac{3}{5}\sqrt{1}0$
The procedure of multiplying a surd by another surd to get a rational number is called RationalisationThe operands are called Rationalizing Factor (RF) of the other.Here, $\sqrt{10}$ is the Rationalisation Factor.