Let's solve each problem step by step. These are all basic square root operations involving perfect squares.
We'll evaluate each square root first, then perform the addition or subtraction.
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1.
$\sqrt{121} - \sqrt{16}$
- $\sqrt{121} = 11$ (because $11 \times 11 = 121$)
- $\sqrt{16} = 4$ (because $4 \times 4 = 16$)
- $11 - 4 = 7$
✔ Answer: 7
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2.
$\sqrt{144} - \sqrt{36}$
- $\sqrt{144} = 12$ ($12 \times 12 = 144$)
- $\sqrt{36} = 6$ ($6 \times 6 = 36$)
- $12 - 6 = 6$
✔ Answer: 6
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3.
$\sqrt{64} - \sqrt{9}$
- $\sqrt{64} = 8$ ($8 \times 8 = 64$)
- $\sqrt{9} = 3$ ($3 \times 3 = 9$)
- $8 - 3 = 5$
✔ Answer: 5
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4.
$\sqrt{25} + \sqrt{16}$
- $\sqrt{25} = 5$
- $\sqrt{16} = 4$
- $5 + 4 = 9$
✔ Answer: 9
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5.
$\sqrt{9} + \sqrt{81}$
- $\sqrt{9} = 3$
- $\sqrt{81} = 9$
- $3 + 9 = 12$
✔ Answer: 12
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6.
$\sqrt{81} - \sqrt{9}$
- $\sqrt{81} = 9$
- $\sqrt{9} = 3$
- $9 - 3 = 6$
✔ Answer: 6
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7.
$\sqrt{64} + \sqrt{1}$
- $\sqrt{64} = 8$
- $\sqrt{1} = 1$
- $8 + 1 = 9$
✔ Answer: 9
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8.
$\sqrt{81} - \sqrt{4}$
- $\sqrt{81} = 9$
- $\sqrt{4} = 2$
- $9 - 2 = 7$
✔ Answer: 7
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9.
$\sqrt{36} + \sqrt{4}$
- $\sqrt{36} = 6$
- $\sqrt{4} = 2$
- $6 + 2 = 8$
✔ Answer: 8
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10.
$\sqrt{100} - \sqrt{25}$
- $\sqrt{100} = 10$
- $\sqrt{25} = 5$
- $10 - 5 = 5$
✔ Answer: 5
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11.
$\sqrt{1} + \sqrt{25}$
- $\sqrt{1} = 1$
- $\sqrt{25} = 5$
- $1 + 5 = 6$
✔ Answer: 6
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✔ Final Answers:
1. $7$
2. $6$
3. $5$
4. $9$
5. $12$
6. $6$
7. $9$
8. $7$
9. $8$
10. $5$
11. $6$
Let me know if you'd like this formatted as a worksheet or need explanations for any specific one!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting square roots worksheet.
