HOW TO FIND CUBE ROOT OF A NUMBER

Cube root of a number is the factor that we multiply by itself three times to get that number. The symbol

3a

To find a cube root of a number, we will follow the steps.

Step 1 :

Decompose the numerators and denominator separately as product of prime factors.

Step 2 :

For every three same value, we can take one out of the radical. 

Evaluate :

Problem 1:

1

Solution :

1 = 1

Problem 2 :

-1

Solution :

-1 = ∛(-1)  (-1)  (-1)

= -1

Problem 3 :

-27

Solution :

-27

We can write 27 as 3 × 3 × 3,

-27 = ∛(-3 × -3 × -3)

-27 = -3

Problem 4 :

8

Solution :

8

We can write 8 as 2 × 2 × 2,

8 = 2 × 2 × 2

8 = 2

Problem 5 :

-8

Solution :

-8

We can write 8 as 2 × 2 × 2,

-8 = ∛(-2 × -2 × -2)

-8 = -2

Problem 6 :

64

Solution :

64

We can write 64 as 4 × 4 × 4,

64 = 4 × 4 × 4

64 = 4

Problem 7 :

125

Solution :

125

We can write 125 as 5 × 5 × 5,

125 = 5 × 5 × 5

125 = 5

Problem 8 : 

-216

Solution :

-216

We can write 216 as 6 × 6 × 6,

-216 = ∛(-6 × -6 × -6)

-216 = -6

Problem 9 :

-1000

Solution :

-1000

We can write 1000 as 10 × 10 × 10,

-1000 = (-10 × -10 × -10)

-1000 = -10

Problem 10 :

343

Solution :

343

We can write 343 as 7 × 7 × 7,

343 = 7 × 7 × 7

343 = 7

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