Cube Root of 8

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The cube root of 8 is the value “y” such that the number “y” is multiplied 3 thrice by itself., ∛ is the symbol used to denote the cube root of a number. Cube roots are used in designing loudspeakers or in pharmacology for correct dosage of medicine as per body weight.

What is the Cube Root of 8?

The cube root of 8 is 2. The cube root of 8 is expressed as ∛8 in radical form, where the “∛" sign is called the “radical” sign. In exponential form, it is written as (8)^⅓

Finding the cube root of 8

We can find the cube root of 8 through mainly two methods:

i) Prime Factorization method.

ii) Subtraction method

Cube root of 8 by Prime Factorization method

Finding a cube root of 8 through the Prime Factorization method involves:

Step 1 — Find the prime factors of 8.

So 8 = 2×2×2

Step 2 — Group the factors of 8 in a group of 3.

Step 3 — So here 8 is a perfect cube, we have a pair of 3, so there is no need to expand it further.

From the above calculations we can say that cube root of 8 can be written as ∛8 = ∛2×2×2 = 8

Therefore, the cube root of 8 is 2.

Cube root of 8 by Subtraction method

The subtraction method involves subtracting successive odd numbers repeatedly.

The numbers starting from 8 should be subtracted until we get the result 0.

Step 1: First Start with subtracting the 1st odd number which is 8 : 8–1 = 7

Step 2: Second subtract the second next odd number which is 7 : 7–7 = 0

From the above calculations, the subtraction took place two times to reach zero.

So we can figure out that the cube root of 8 is 2.

Important Glossaries for Square Root of 12

Perfect Number Cube - Any cube that results in integer multiplication.

A rational number -This is a number that can be represented as a fraction P / Q where P and Q are integers.

Equation - It is a condition that two expressions are equal.

Volume - The volume of a cube is the amount of cubic space that it can hold.