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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.

Cube root of 16 = ∛16 = 2.51984209979 = 2.52 (approx)

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.

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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.

Number Cube root Number Cube root
1 ∛1 = 1.000 16 ∛16 = 2.520
2 ∛2 = 1.260 17 ∛17 = 2.571
3 ∛3 = 1.442 18 ∛18 = 2.621
4 ∛4 = 1.587 19 ∛19 = 2.668
5 ∛5 = 1.710 20 ∛20 = 2.714
6 ∛6 = 1.817 21 ∛21 = 2.759
7 ∛7 = 1.913 22 ∛22 = 2.802
8 ∛8 = 2.000 23 ∛23 = 2.844
9 ∛9 = 2.080 24 ∛24 = 2.884
10 ∛10 = 2.154 25 ∛25 = 2.924
11 ∛11 = 2.224 26 ∛26 = 2.962
12 ∛12 = 2.289 27 ∛27 = 3
13 ∛13 = 2.351 28 ∛28 = 3.037
14 ∛14 = 2.410 29 ∛29 = 3.072
15 ∛15 = 2.466 30 ∛30 = 3.107

Frequently Asked Questions on Cube Root of 16

What is a cube root of 16?

The value of the cube root of 16 is 2.51984209979. Thus, the approximate value of cube root of 16 is 2.52.

Is 16 a perfect cube?

No, 16 is not a perfect cube since the value of the cube root of 16 is not a whole number but a fraction.

What is the cube of 16?

The cube of 16 is 16^3 = 16 × 16 × 16 = 4096.

Can the square root of 16 be simplified?

Yes, the square root of 16 can be simplified, and the value of the square root of 16 is 4.

Is the cube root of 16 a whole number?

No, the cube root of 16 is not a whole number, but a fraction, i.e. the cube root of 16 is 2.51984209979.

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