# Algebra: Square Roots of Algebraic Terms

In this worksheet, students simplify the square 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 square of an algebraic term, we simply multiply it by itself.

Thus the square of 3a4 is   3a4 x 3a4 = 9a8

The reverse of squaring is finding the square root.

So 9a8 = 3a4

(i.e. we find the square root of the number and halve the index)

Simplify:

4a6

2a2

2a3

2a12

Simplify:

9a16

3a4

9a4

3a8

Simplify:

4a4

3a4

2a2

2a8

Simplify:

16a4

4a2

2a2

4a8

Simplify:

16b16

8b4

2b4

4b8

Simplify:

25b12

5b4

5b6

4b6

Simplify:

36b12

6b4

18b6

6b6

Simplify:

36c6

6c3

18c6

6c2

Simplify:

64c16

8c16

8c8

8c4

Simplify:

64y64

8y32

8y8

32y32

• Question 1

Simplify:

4a6

2a3
• Question 2

Simplify:

9a16

3a8
• Question 3

Simplify:

4a4

2a2
• Question 4

Simplify:

16a4

4a2
• Question 5

Simplify:

16b16

4b8
• Question 6

Simplify:

25b12

5b6
• Question 7

Simplify:

36b12

6b6
• Question 8

Simplify:

36c6

6c3
• Question 9

Simplify:

64c16

8c8
• Question 10

Simplify:

64y64

8y32
---- OR ----

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