Inverse Operations: Squaring and Square Roots

Name: _______________________________
Date: _______________________________

Remember: Squaring and square roots are inverse operations. If 5² = 25, then √25 = 5

Part A: Find the Squares

1. 3² = __________
2. 7² = __________
3. 9² = __________
4. 12² = __________
5. 10² = __________
6. 6² = __________
7. 11² = __________
8. 15² = __________

Part B: Find the Square Roots

1. √16 = __________
2. √49 = __________
3. √64 = __________
4. √100 = __________
5. √144 = __________
6. √81 = __________
7. √36 = __________
8. √121 = __________

Part C: True or False?

1. √25 = 5 __________
2. 8² = 64 __________
3. √9 = 6 __________
4. 4² = 16 __________
5. √144 = 11 __________

Part D: Complete the Inverse Operation

Fill in the missing numbers to show inverse operations.

1. 5² = 25, so √25 = __________
2. __________² = 36, so √36 = 6
3. 13² = 169, so √__________ = 13
4. 8² = __________, so √64 = 8
5. __________² = 81, so √81 = 9

Part E: Problem Solving

1. A square garden has an area of 49 m². What is the length of one side?

Answer: __________

2. If a square has sides of 14 cm, what is its area?

Answer: __________