Exploring Square Roots (Grade 6)
This worksheet helps sixth-grade students understand and calculate square roots of perfect squares and estimate non-perfect squares.
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Exploring Square Roots
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Read each question carefully and answer to the best of your ability. Show your work where applicable.
Complete the following sentences about perfect squares.
1. A perfect square is the result of multiplying an integer by .
2. The square root of 49 is because 7 x 7 = 49.
3. The number 100 is a perfect square because its square root is .
Find the square root of each perfect square.
4. √25
5. √81
6. √144
Choose the best estimate for each square root.
7. Between which two whole numbers does √30 lie?
4 and 5
5 and 6
6 and 7
7 and 8
8. Estimate √10.
About 2
About 3
About 4
About 5
Determine if each statement is True or False.
9. The square root of 64 is 8.
True
False
10. The number 20 is a perfect square.
True
False
Solve the following problem. Show your work.
11. A square garden has an area of 121 square feet. What is the length of one side of the garden?