Question

Write the simplest rationalization factor of the following surds :

$\sqrt{x^3{y}^5}$

• A. $\sqrt{x{y}^3}$
• B. $\sqrt{xy}$
• C. $\sqrt{x^{3}y}$
• D. $\sqrt{x^3{y}^3}$

Answer 1

The correct option is B $\sqrt{xy}$

$\sqrt{x^3{y}^5}$
$=\sqrt{x^2\times x\times y^4\times y}$
$=x{y}^2\sqrt{xy}$
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, $\sqrt{xy}$ is the Rationalisation Factor.