The image you've uploaded is a completed worksheet titled
"Common Square Roots (A) Answers" from
Math-Drills.com, which contains the
principal (positive) square roots of various perfect squares. The task was to calculate the positive square root of each number, and all answers have already been filled in correctly.
Let me walk through how these solutions are derived and confirm their accuracy.
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🔍 Understanding the Task
We are asked to find the
principal (positive) square root of each number. That means for any number $ x $, we want the
positive value $ y $ such that:
$$
y^2 = x
$$
For example:
- $ \sqrt{144} = 12 $ because $ 12 \times 12 = 144 $
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✔ Verification of Each Answer
Here's a quick verification of each answer:
| Expression | Answer | Verification |
|-----------|--------|--------------|
| $ \sqrt{144} $ | 12 | $ 12^2 = 144 $
✔ |
| $ \sqrt{100} $ | 10 | $ 10^2 = 100 $
✔ |
| $ \sqrt{25} $ | 5 | $ 5^2 = 25 $
✔ |
| $ \sqrt{9} $ | 3 | $ 3^2 = 9 $
✔ |
| $ \sqrt{4} $ | 2 | $ 2^2 = 4 $
✔ |
| $ \sqrt{900} $ | 30 | $ 30^2 = 900 $
✔ |
| $ \sqrt{121} $ | 11 | $ 11^2 = 121 $
✔ |
| $ \sqrt{225} $ | 15 | $ 15^2 = 225 $
✔ |
| $ \sqrt{64} $ | 8 | $ 8^2 = 64 $
✔ |
| $ \sqrt{169} $ | 13 | $ 13^2 = 169 $
✔ |
| $ \sqrt{81} $ | 9 | $ 9^2 = 81 $
✔ |
| $ \sqrt{6400} $ | 80 | $ 80^2 = 6400 $
✔ |
| $ \sqrt{625} $ | 25 | $ 25^2 = 625 $
✔ |
| $ \sqrt{4900} $ | 70 | $ 70^2 = 4900 $
✔ |
| $ \sqrt{1} $ | 1 | $ 1^2 = 1 $
✔ |
| $ \sqrt{196} $ | 14 | $ 14^2 = 196 $
✔ |
| $ \sqrt{3600} $ | 60 | $ 60^2 = 3600 $
✔ |
| $ \sqrt{16} $ | 4 | $ 4^2 = 16 $
✔ |
| $ \sqrt{49} $ | 7 | $ 7^2 = 49 $
✔ |
| $ \sqrt{400} $ | 20 | $ 20^2 = 400 $
✔ |
| $ \sqrt{1600} $ | 40 | $ 40^2 = 1600 $
✔ |
| $ \sqrt{2500} $ | 50 | $ 50^2 = 2500 $
✔ |
| $ \sqrt{8100} $ | 90 | $ 90^2 = 8100 $
✔ |
| $ \sqrt{36} $ | 6 | $ 6^2 = 36 $
✔ |
✔ All answers are correct.
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📌 Summary
- This worksheet tests knowledge of
perfect squares.
- All answers provided are accurate.
- The
principal (positive) square root is always taken, so negative roots are not considered.
- There are
24 problems, and all are correctly solved.
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✔ Final Score: 24 / 24
If this were a graded assignment, the student would receive full credit.
Let me know if you'd like a version of this worksheet without answers (for practice), or if you want help with non-perfect square roots!
Parent Tip: Review the logic above to help your child master the concept of worksheet on square roots.