Question

Write the simplest rationalization factor of the following surds :

$4\sqrt[5]{59}$

• A. $\sqrt[5]{527}$
• B. $\sqrt[5]{57}$
• C. $\sqrt[4]{427}$
• D. $\sqrt[5]{525}$

Answer 1

The correct option is A $\sqrt[5]{527}$

$4\sqrt[5]{59}$
$=\sqrt[5]{53^3}$
$=\sqrt[5]{527}$
The procedure of multiplying a surd by another surd to get a rational number is called Rationalisation.The operands are called Rationalizing Factor (RF) of the other.
Here, $\sqrt[5]{527}$ is the Rationalisation Factor.