Cube Root 1 to 30 PDF, Value, Cube Root Value List, PDF Download, Cube Root Trick, Cube Root Quiz Test

## Cube Root 1 to 30

The cube root of a number is the factor that we multiply by itself three times to get that number. The cube root 1 to 30 in radical form is expressed as ∛x. We express (x)1/3 in the exponential form.

i.e. (3)3 = 27

∛27 = ∛(3)3 = 3

## Cube Root Symbol

The cube root symbol is denoted by ‘3‘. In square root, we have used just the root symbol that is ‘√’, which is also called a radical. Hence, we can represent the cube root of different number as : Cube root of 3 = 33, cube root of 7 = 37 and so on.

## Cube Root 1 to 30 Chart

This is the list of 1 to 30 Cube Root Value.

## How to Find Cube Root of a Number

There are some following ways to Calculate Cube Root of any number

#### 1) Prime factorization method

Example :-

• Value of ∛216 Prime Factorization of 216 is 2×2×2×3×3×3
• Divide the factors into groups of three identical factors i.e. (2×2×2)×(3×3×3)
• Take out common number from the groups and multiply them, then the product that we get is the cube root a number. Here 2×3 = 6. So 6 is the Cube Root of ∛216.

## Cube Root 1 to 30 Test

Q. What is cube root of 27 ?

a) 13.5

b) 54

c) 3

d) 30

Q. What is the cube root of 1?

a) 1

b) 2

c) 10

d) -1

Q. What is the cube root of 8?

a) 64

b) 8

c) 2

d) 80

Q. What is the cube root of 12?

a) 2.2894

b) 2.4101

c) 2.6207

d) 2.6684

Q. What is the cube root of 10?

a) 2.2239

b) 2.1544

c) 2.3513

d) 100

Q. What is the cube root of 30?

a) 3.1072

b) 2.7589

c) 2.8844

d) 3

Q. What is the cube root of 9?

a) 3

b) 81

c) 2.08

d) 2.2607

## Solved Example of Cube Root

Question 1: Solve: ∛343

Solution:

Prime factors = 7×7×7 = 343
So, ∛343= 7.

Question 2: Find ∛46656 by the method of prime factorization.

Solution:

Let us first find the prime factors:

∛46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 = 23 × 23 × 33 × 33 = (2 × 2 × 3 × 3)3

So, ∛46656= 36.

### FAQs

Ans:

#### What are the different ways to find the Cube Root?

Ans: There are mainly two ways to find –
1) Prime Factorization Method
2) Estimation Method

#### What is the cube root of 3?

Ans: The cube root of 3 is 1.4142, That is  = ∛1.4422

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