Cube Root of 16

Cube root of 16 = ∛16 = 2.51984209979

In mathematics, the cube root of a number is a value that gives the original number on multiplication by itself thrice. If p is the cube root of q, it is represented as p = ∛q, or we can express the same equation as p3 = q. Here, ’∛’ is the symbol used to denote the cube root of numbers. The positive number, when multiplied by itself, represents the cube of the number. Thus, the cube root of the square of a positive number gives the original number. In this article, you will learn how to calculate the cube root of 16 in various methods and the solved examples on the cube root of 16.

What is the Cube Root of 16?

The cube root of 64, denoted as ∛64, is a value that results in its original number after multiplying three times by itself. The cube root of a number is the root of a natural number that is cubed, and it is a reverse method of evaluating the cube of a number. Say, p3 = q, then ∛q = p.

Also, try: Cube root Calculator

How to Calculate the Cube Root of 16?

The value of the cube root of 16 can be calculated as follows.

Cube root of 16 in radical form:

Prime factorisation of 16 = 2 × 2 × 2 × 2

i.e. 16 = 2 × 2 × 2 × 2

Taking cube root on both sides of the above equation.

∛16 = ∛(2 × 2 × 2 × 2)

= ∛[(2 × 2 × 2) × 2]

= 2∛2

Therefore, ∛16 = 2∛2.

Cube Root of 16 in Decimal form:

As we already calculated the cube root of 16 in radical form.

∛16 = 2∛2

Substituting ∛2 = 1.25992104989, we get;

∛16 = 2∛2 = 2 × 1.25992104989 = 2.51984209979

Therefore, ∛16 = 2.51984209979

Cube Root of 16 in Exponential form:

We can write the cube root of 16 in exponential form as:

∛16 = (16)^⅓

Video Lesson on Finding Cube Roots

Also, check the cube root of numbers from 1 to 30 here.