Question

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

Options

• m³ 

• `sqrt(m)`

• `m/3`

• `root(3)(m)`

Answer 1

If m is the cube root of n, then n is m³.

Explanation:

Given, m is the cube root of n, i.e. `m = root(3)(n)`

⇒ `m = (n)^(1/3)`

⇒ `m^3 = (n)^(3/3)`  ...[Taking cube on both sides]

∴ m³ = n