# Algebra: Cube Roots of Algebraic Terms

In this worksheet, students simplify the cube roots of algebraic terms.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:

### QUESTION 1 of 10

When we find the cube of an algebraic term, we simply multiply it by itself and then by itself.

Thus the cube of 2a4 is

2a4 x 2a4 x 2a4 = 8a12

The reverse of cubing is finding the cube root.

So  38a12 = 2a4

(i.e. we find the cube root of the number and divide the index by 3)

Simplify:

38a6

2a2

2a3

2a12

Simplify:

38a3

3a27

2a4

2a

Simplify:

327a6

3a2

2a3

3a18

Simplify:

327b9

3b

2b3

3b3

Simplify:

38b12

3b4

2b4

3b3

Simplify:

38b15

3b4

2b5

3b5

Simplify:

327c15

3c4

2c5

3c5

Simplify:

327c18

3c6

2c9

3c9

Simplify:

364y18

4y6

8y9

4y9

Simplify:

364y9

4y6

8y3

4y3

• Question 1

Simplify:

38a6

2a2
• Question 2

Simplify:

38a3

2a
• Question 3

Simplify:

327a6

3a2
• Question 4

Simplify:

327b9

3b3
• Question 5

Simplify:

38b12

2b4
• Question 6

Simplify:

38b15

2b5
• Question 7

Simplify:

327c15

3c5
• Question 8

Simplify:

327c18

3c6
• Question 9

Simplify:

364y18

4y6
• Question 10

Simplify:

364y9

4y3
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