Question

State whether the following statement is True or False.

The rationalising factor of $\sqrt[4]{45}$ is $\sqrt[4]{4125}$

• A. True
• B. False

Answer 1

The correct option is A True

The procedure of multiplying a surd by another surd to get a rational number is called rationalisation and the operand is called rationalizing factor
$\sqrt[4]{45}\times \sqrt[4]{4125}=\sqrt[4]{4625}={\left(5^4\right)}^{\frac{1}{4}}=5$
Hence $\sqrt[4]{4125}$ is rationalizing factor of $\sqrt[4]{45}$