Question

State whether the rationalising factor of given expression is True or False.

$\sqrt[3]{349}$$\Rightarrow \sqrt[3]{37}$

• A. True
• B. False

Answer 1

The correct option is A True
If the product of two surds is a rational number, then each of the two surds/radicals is called a rationalising factor
Here, $\sqrt[3]{349}$
Rationalizing the above
$\sqrt[3]{349}\times \sqrt[3]{37}$
$=\sqrt[3]{3343}$
$=7$ a rational number.
Thus, $\sqrt[3]{37}$ is the rationalizing factor
A