To solve the square root problems in the worksheet, we need to find the number that, when multiplied by itself, gives the original number. Let's go through each problem step by step.
1. Square Roots of Perfect Squares
#### First Column:
1. \( \sqrt{1600} \)
- \( 40 \times 40 = 1600 \)
- Answer: \( 40 \)
2. \( \sqrt{144} \)
- \( 12 \times 12 = 144 \)
- Answer: \( 12 \)
3. \( \sqrt{100} \)
- \( 10 \times 10 = 100 \)
- Answer: \( 10 \)
4. \( \sqrt{9} \)
- \( 3 \times 3 = 9 \)
- Answer: \( 3 \)
5. \( \sqrt{49} \)
- \( 7 \times 7 = 49 \)
- Answer: \( 7 \)
6. \( \sqrt{900} \)
- \( 30 \times 30 = 900 \)
- Answer: \( 30 \)
7. \( \sqrt{1089} \)
- \( 33 \times 33 = 1089 \)
- Answer: \( 33 \)
8. \( \sqrt{576} \)
- \( 24 \times 24 = 576 \)
- Answer: \( 24 \)
9. \( \sqrt{1296} \)
- \( 36 \times 36 = 1296 \)
- Answer: \( 36 \)
10. \( \sqrt{0} \)
- \( 0 \times 0 = 0 \)
- Answer: \( 0 \)
#### Second Column:
1. \( \sqrt{81} \)
- \( 9 \times 9 = 81 \)
- Answer: \( 9 \)
2. \( \sqrt{784} \)
- \( 28 \times 28 = 784 \)
- Answer: \( 28 \)
3. \( \sqrt{289} \)
- \( 17 \times 17 = 289 \)
- Answer: \( 17 \)
4. \( \sqrt{64} \)
- \( 8 \times 8 = 64 \)
- Answer: \( 8 \)
5. \( \sqrt{1521} \)
- \( 39 \times 39 = 1521 \)
- Answer: \( 39 \)
6. \( \sqrt{529} \)
- \( 23 \times 23 = 529 \)
- Answer: \( 23 \)
7. \( \sqrt{676} \)
- \( 26 \times 26 = 676 \)
- Answer: \( 26 \)
8. \( \sqrt{1} \)
- \( 1 \times 1 = 1 \)
- Answer: \( 1 \)
9. \( \sqrt{1369} \)
- \( 37 \times 37 = 1369 \)
- Answer: \( 37 \)
10. \( \sqrt{1024} \)
- \( 32 \times 32 = 1024 \)
- Answer: \( 32 \)
Final Answers:
\[
\begin{array}{ll}
\sqrt{1600} = 40 & \sqrt{81} = 9 \\
\sqrt{144} = 12 & \sqrt{784} = 28 \\
\sqrt{100} = 10 & \sqrt{289} = 17 \\
\sqrt{9} = 3 & \sqrt{64} = 8 \\
\sqrt{49} = 7 & \sqrt{1521} = 39 \\
\sqrt{900} = 30 & \sqrt{529} = 23 \\
\sqrt{1089} = 33 & \sqrt{676} = 26 \\
\sqrt{576} = 24 & \sqrt{1} = 1 \\
\sqrt{1296} = 36 & \sqrt{1369} = 37 \\
\sqrt{0} = 0 & \sqrt{1024} = 32 \\
\end{array}
\]
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
40 & 9 \\
12 & 28 \\
10 & 17 \\
3 & 8 \\
7 & 39 \\
30 & 23 \\
33 & 26 \\
24 & 1 \\
36 & 37 \\
0 & 32 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of exponents and roots worksheet.
