Question

Write the simplest rationalization factor of the following surds :
$2\sqrt[3]{35}$

• A. $\sqrt[3]{325}$
• B. $2\sqrt{5}$
• C. $\sqrt{125}$
• D. $\sqrt[2]{225}$

Answer 1

Answer: (A)

$\sqrt[3]{325}$

If the product of two surds is a rational number, then each of the two surds/radicals is called a rationalising factor
Here, $2\sqrt[3]{35}$
Rationalizing the above
$2\sqrt[3]{35}\times \sqrt[3]{325}$
$=2\sqrt[3]{3125}$
$=2\times 5$
$=10$ a rational number.
Thus, $\sqrt[3]{325}$ is the rationalizing factor

Hence, option A is correct.