# Cube Root 1 to 30 [Download PDF] | Cube Root PDF

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

SUMMARY

## 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.

Also Check :- 1 to 30 Cube PDF Download

## 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

Answer : (c) 3

Q. What is the cube root of 1?

a) 1

b) 2

c) 10

d) -1

Answer : (a) 1

Q. What is the cube root of 8?

a) 64

b) 8

c) 2

d) 80

Answer : (c) 2

Q. What is the cube root of 12?

a) 2.2894

b) 2.4101

c) 2.6207

d) 2.6684

Answer : (a) 2.2894

Q. What is the cube root of 10?

a) 2.2239

b) 2.1544

c) 2.3513

d) 100

Answer : (b) 2.1544

Q. What is the cube root of 30?

a) 3.1072

b) 2.7589

c) 2.8844

d) 3

Answer : (a) 3.1072

Q. What is the cube root of 9?

a) 3

b) 81

c) 2.08

d) 2.2607

Answer : (c) 2.08

## 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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