Question

Question 22

Write the correct answer from the given four options.

If m is the cube root of n, then n is

a) $m^3$
b) $\sqrt{m}$
c) $\frac{m}{3}$
d) $\sqrt[3]{3m}$

Answer 1

Given, m is the cube root of n, i.e. $m=\sqrt[3]{3n}$
$\Rightarrow m=(n{)}^{\frac{1}{3}}$
$\Rightarrow m^3=(n{)}^{\frac{3}{3}}$ [taking cube on both sides]
$\therefore m^3=n$