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Algebra: Square Roots of Algebraic Terms

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

'Algebra: Square Roots of Algebraic Terms' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:  

Worksheet Overview

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

CORRECT ANSWER
2a3
  • Question 2

Simplify:

9a16

CORRECT ANSWER
3a8
  • Question 3

Simplify:

4a4

CORRECT ANSWER
2a2
  • Question 4

Simplify:

16a4

CORRECT ANSWER
4a2
  • Question 5

Simplify:

16b16

CORRECT ANSWER
4b8
  • Question 6

Simplify:

25b12

CORRECT ANSWER
5b6
  • Question 7

Simplify:

36b12

CORRECT ANSWER
6b6
  • Question 8

Simplify:

36c6

CORRECT ANSWER
6c3
  • Question 9

Simplify:

64c16

CORRECT ANSWER
8c8
  • Question 10

Simplify:

64y64

CORRECT ANSWER
8y32
---- OR ----

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