If m is the cube root of n, then n is,
a. m³
b. √m
c. m/3
d. ∛m

Solution:

Given, m is the cube root of n.

We have to find the value of n.

Cube root is the inverse operation of a cube.

Given, m = ∛n

Number obtained when a number is multiplied by itself three times is called the cube of the number.

if x = y³, then x is a perfect square where x and y are natural numbers.

On cubing both sides,

m³ = (∛n)³

m³ = n

Therefore, n = m³

✦ Try This: If m is the cube of n, then n is a. n³, b. √n, c. n/3, d. ∛n

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 22

If m is the cube root of n, then n is, a. m³, b. √m, c. m/3, d. ∛m

Summary:

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

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