Using prime factorisation, find the cube root of 5832.

Solution:

Given, the number is 5832.

We have to find the cube root of 5832 by using prime factorisation.

Prime factorization is a way of expressing a number as a product of its prime factors.

A prime number is a number that has exactly two factors, 1 and the number itself.

Prime factorisation of 5832 is

So, 5832 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 

= 2³ × 3³ × 3³

Cube root is an inverse operation of the cube.

∛5832 = ∛2³ × 3³ × 3³

= 2 × 3 × 3

= 18

Therefore, the cube root of 5832 is 18.

✦ Try This: Using prime factorisation, find the cube root of 8000.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 25

Using prime factorisation, find the cube root of 5832

Summary:

Using prime factorisation, the cube root of 5832 is 18

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