Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
To solve the problems involving adding and subtracting square roots, we need to follow these steps:
1. Simplify each square root: Calculate the value of each square root.
2. Perform the addition or subtraction: Add or subtract the simplified values as required.
Let's solve each problem step by step.
---
#### Problem 1: \( \sqrt{121} + \sqrt{196} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{121} = 11 \)
- \( \sqrt{196} = 14 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
11 + 14 + 4 = 29
\]
- Answer: \( 29 \)
#### Problem 2: \( \sqrt{121} + \sqrt{144} + \sqrt{36} \)
- Simplify each square root:
- \( \sqrt{121} = 11 \)
- \( \sqrt{144} = 12 \)
- \( \sqrt{36} = 6 \)
- Add the values:
\[
11 + 12 + 6 = 29
\]
- Answer: \( 29 \)
---
#### Problem 3: \( \sqrt{64} - \sqrt{225} - \sqrt{36} \)
- Simplify each square root:
- \( \sqrt{64} = 8 \)
- \( \sqrt{225} = 15 \)
- \( \sqrt{36} = 6 \)
- Subtract the values:
\[
8 - 15 - 6 = -13
\]
- Answer: \( -13 \)
#### Problem 4: \( \sqrt{625} - \sqrt{36} - \sqrt{361} \)
- Simplify each square root:
- \( \sqrt{625} = 25 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{361} = 19 \)
- Subtract the values:
\[
25 - 6 - 19 = 0
\]
- Answer: \( 0 \)
---
#### Problem 5: \( \sqrt{25} + \sqrt{4} + \sqrt{900} \)
- Simplify each square root:
- \( \sqrt{25} = 5 \)
- \( \sqrt{4} = 2 \)
- \( \sqrt{900} = 30 \)
- Add the values:
\[
5 + 2 + 30 = 37
\]
- Answer: \( 37 \)
#### Problem 6: \( \sqrt{4} + \sqrt{49} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{4} = 2 \)
- \( \sqrt{49} = 7 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
2 + 7 + 4 = 13
\]
- Answer: \( 13 \)
---
#### Problem 7: \( \sqrt{9} - \sqrt{25} - \sqrt{324} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{25} = 5 \)
- \( \sqrt{324} = 18 \)
- Subtract the values:
\[
3 - 5 - 18 = -20
\]
- Answer: \( -20 \)
#### Problem 8: \( \sqrt{9} - \sqrt{64} - \sqrt{441} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{64} = 8 \)
- \( \sqrt{441} = 21 \)
- Subtract the values:
\[
3 - 8 - 21 = -26
\]
- Answer: \( -26 \)
---
#### Problem 9: \( \sqrt{49} + \sqrt{784} + \sqrt{64} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{784} = 28 \)
- \( \sqrt{64} = 8 \)
- Add the values:
\[
7 + 28 + 8 = 43
\]
- Answer: \( 43 \)
#### Problem 10: \( \sqrt{49} + \sqrt{625} + \sqrt{64} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{625} = 25 \)
- \( \sqrt{64} = 8 \)
- Add the values:
\[
7 + 25 + 8 = 40
\]
- Answer: \( 40 \)
---
#### Problem 11: \( \sqrt{729} - \sqrt{49} - \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{729} = 27 \)
- \( \sqrt{49} = 7 \)
- \( \sqrt{9} = 3 \)
- Subtract the values:
\[
27 - 7 - 3 = 17
\]
- Answer: \( 17 \)
#### Problem 12: \( \sqrt{64} - \sqrt{81} - \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{64} = 8 \)
- \( \sqrt{81} = 9 \)
- \( \sqrt{16} = 4 \)
- Subtract the values:
\[
8 - 9 - 4 = -5
\]
- Answer: \( -5 \)
---
#### Problem 13: \( \sqrt{144} + \sqrt{36} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{144} = 12 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
12 + 6 + 4 = 22
\]
- Answer: \( 22 \)
#### Problem 14: \( \sqrt{144} + \sqrt{169} + \sqrt{4} \)
- Simplify each square root:
- \( \sqrt{144} = 12 \)
- \( \sqrt{169} = 13 \)
- \( \sqrt{4} = 2 \)
- Add the values:
\[
12 + 13 + 2 = 27
\]
- Answer: \( 27 \)
---
#### Problem 15: \( \sqrt{49} - \sqrt{400} - \sqrt{400} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{400} = 20 \)
- Subtract the values:
\[
7 - 20 - 20 = -33
\]
- Answer: \( -33 \)
#### Problem 16: \( \sqrt{49} - \sqrt{25} - \sqrt{100} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{25} = 5 \)
- \( \sqrt{100} = 10 \)
- Subtract the values:
\[
7 - 5 - 10 = -8
\]
- Answer: \( -8 \)
---
#### Problem 17: \( \sqrt{900} - \sqrt{400} - \sqrt{100} \)
- Simplify each square root:
- \( \sqrt{900} = 30 \)
- \( \sqrt{400} = 20 \)
- \( \sqrt{100} = 10 \)
- Subtract the values:
\[
30 - 20 - 10 = 0
\]
- Answer: \( 0 \)
#### Problem 18: \( \sqrt{400} - \sqrt{36} - \sqrt{961} \)
- Simplify each square root:
- \( \sqrt{400} = 20 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{961} = 31 \)
- Subtract the values:
\[
20 - 6 - 31 = -17
\]
- Answer: \( -17 \)
---
#### Problem 19: \( \sqrt{81} + \sqrt{1} + \sqrt{0} \)
- Simplify each square root:
- \( \sqrt{81} = 9 \)
- \( \sqrt{1} = 1 \)
- \( \sqrt{0} = 0 \)
- Add the values:
\[
9 + 1 + 0 = 10
\]
- Answer: \( 10 \)
#### Problem 20: \( \sqrt{81} + \sqrt{9} + \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{81} = 9 \)
- \( \sqrt{9} = 3 \)
- Add the values:
\[
9 + 3 + 3 = 15
\]
- Answer: \( 15 \)
---
#### Problem 21: \( \sqrt{196} - \sqrt{4} - \sqrt{4} \)
- Simplify each square root:
- \( \sqrt{196} = 14 \)
- \( \sqrt{4} = 2 \)
- Subtract the values:
\[
14 - 2 - 2 = 10
\]
- Answer: \( 10 \)
#### Problem 22: \( \sqrt{400} - \sqrt{16} - \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{400} = 20 \)
- \( \sqrt{16} = 4 \)
- \( \sqrt{9} = 3 \)
- Subtract the values:
\[
20 - 4 - 3 = 13
\]
- Answer: \( 13 \)
---
#### Problem 23: \( \sqrt{9} + \sqrt{25} + \sqrt{25} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{25} = 5 \)
- Add the values:
\[
3 + 5 + 5 = 13
\]
- Answer: \( 13 \)
#### Problem 24: \( \sqrt{1} + \sqrt{36} + \sqrt{25} \)
- Simplify each square root:
- \( \sqrt{1} = 1 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{25} = 5 \)
- Add the values:
\[
1 + 6 + 5 = 12
\]
- Answer: \( 12 \)
---
\[
\boxed{
\begin{array}{ll}
29 & 29 \\
-13 & 0 \\
37 & 13 \\
-20 & -26 \\
43 & 40 \\
17 & -5 \\
22 & 27 \\
-33 & -8 \\
0 & -17 \\
10 & 15 \\
10 & 13 \\
13 & 12 \\
\end{array}
}
\]
1. Simplify each square root: Calculate the value of each square root.
2. Perform the addition or subtraction: Add or subtract the simplified values as required.
Let's solve each problem step by step.
---
First Row:
#### Problem 1: \( \sqrt{121} + \sqrt{196} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{121} = 11 \)
- \( \sqrt{196} = 14 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
11 + 14 + 4 = 29
\]
- Answer: \( 29 \)
#### Problem 2: \( \sqrt{121} + \sqrt{144} + \sqrt{36} \)
- Simplify each square root:
- \( \sqrt{121} = 11 \)
- \( \sqrt{144} = 12 \)
- \( \sqrt{36} = 6 \)
- Add the values:
\[
11 + 12 + 6 = 29
\]
- Answer: \( 29 \)
---
Second Row:
#### Problem 3: \( \sqrt{64} - \sqrt{225} - \sqrt{36} \)
- Simplify each square root:
- \( \sqrt{64} = 8 \)
- \( \sqrt{225} = 15 \)
- \( \sqrt{36} = 6 \)
- Subtract the values:
\[
8 - 15 - 6 = -13
\]
- Answer: \( -13 \)
#### Problem 4: \( \sqrt{625} - \sqrt{36} - \sqrt{361} \)
- Simplify each square root:
- \( \sqrt{625} = 25 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{361} = 19 \)
- Subtract the values:
\[
25 - 6 - 19 = 0
\]
- Answer: \( 0 \)
---
Third Row:
#### Problem 5: \( \sqrt{25} + \sqrt{4} + \sqrt{900} \)
- Simplify each square root:
- \( \sqrt{25} = 5 \)
- \( \sqrt{4} = 2 \)
- \( \sqrt{900} = 30 \)
- Add the values:
\[
5 + 2 + 30 = 37
\]
- Answer: \( 37 \)
#### Problem 6: \( \sqrt{4} + \sqrt{49} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{4} = 2 \)
- \( \sqrt{49} = 7 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
2 + 7 + 4 = 13
\]
- Answer: \( 13 \)
---
Fourth Row:
#### Problem 7: \( \sqrt{9} - \sqrt{25} - \sqrt{324} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{25} = 5 \)
- \( \sqrt{324} = 18 \)
- Subtract the values:
\[
3 - 5 - 18 = -20
\]
- Answer: \( -20 \)
#### Problem 8: \( \sqrt{9} - \sqrt{64} - \sqrt{441} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{64} = 8 \)
- \( \sqrt{441} = 21 \)
- Subtract the values:
\[
3 - 8 - 21 = -26
\]
- Answer: \( -26 \)
---
Fifth Row:
#### Problem 9: \( \sqrt{49} + \sqrt{784} + \sqrt{64} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{784} = 28 \)
- \( \sqrt{64} = 8 \)
- Add the values:
\[
7 + 28 + 8 = 43
\]
- Answer: \( 43 \)
#### Problem 10: \( \sqrt{49} + \sqrt{625} + \sqrt{64} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{625} = 25 \)
- \( \sqrt{64} = 8 \)
- Add the values:
\[
7 + 25 + 8 = 40
\]
- Answer: \( 40 \)
---
Sixth Row:
#### Problem 11: \( \sqrt{729} - \sqrt{49} - \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{729} = 27 \)
- \( \sqrt{49} = 7 \)
- \( \sqrt{9} = 3 \)
- Subtract the values:
\[
27 - 7 - 3 = 17
\]
- Answer: \( 17 \)
#### Problem 12: \( \sqrt{64} - \sqrt{81} - \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{64} = 8 \)
- \( \sqrt{81} = 9 \)
- \( \sqrt{16} = 4 \)
- Subtract the values:
\[
8 - 9 - 4 = -5
\]
- Answer: \( -5 \)
---
Seventh Row:
#### Problem 13: \( \sqrt{144} + \sqrt{36} + \sqrt{16} \)
- Simplify each square root:
- \( \sqrt{144} = 12 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{16} = 4 \)
- Add the values:
\[
12 + 6 + 4 = 22
\]
- Answer: \( 22 \)
#### Problem 14: \( \sqrt{144} + \sqrt{169} + \sqrt{4} \)
- Simplify each square root:
- \( \sqrt{144} = 12 \)
- \( \sqrt{169} = 13 \)
- \( \sqrt{4} = 2 \)
- Add the values:
\[
12 + 13 + 2 = 27
\]
- Answer: \( 27 \)
---
Eighth Row:
#### Problem 15: \( \sqrt{49} - \sqrt{400} - \sqrt{400} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{400} = 20 \)
- Subtract the values:
\[
7 - 20 - 20 = -33
\]
- Answer: \( -33 \)
#### Problem 16: \( \sqrt{49} - \sqrt{25} - \sqrt{100} \)
- Simplify each square root:
- \( \sqrt{49} = 7 \)
- \( \sqrt{25} = 5 \)
- \( \sqrt{100} = 10 \)
- Subtract the values:
\[
7 - 5 - 10 = -8
\]
- Answer: \( -8 \)
---
Ninth Row:
#### Problem 17: \( \sqrt{900} - \sqrt{400} - \sqrt{100} \)
- Simplify each square root:
- \( \sqrt{900} = 30 \)
- \( \sqrt{400} = 20 \)
- \( \sqrt{100} = 10 \)
- Subtract the values:
\[
30 - 20 - 10 = 0
\]
- Answer: \( 0 \)
#### Problem 18: \( \sqrt{400} - \sqrt{36} - \sqrt{961} \)
- Simplify each square root:
- \( \sqrt{400} = 20 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{961} = 31 \)
- Subtract the values:
\[
20 - 6 - 31 = -17
\]
- Answer: \( -17 \)
---
Tenth Row:
#### Problem 19: \( \sqrt{81} + \sqrt{1} + \sqrt{0} \)
- Simplify each square root:
- \( \sqrt{81} = 9 \)
- \( \sqrt{1} = 1 \)
- \( \sqrt{0} = 0 \)
- Add the values:
\[
9 + 1 + 0 = 10
\]
- Answer: \( 10 \)
#### Problem 20: \( \sqrt{81} + \sqrt{9} + \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{81} = 9 \)
- \( \sqrt{9} = 3 \)
- Add the values:
\[
9 + 3 + 3 = 15
\]
- Answer: \( 15 \)
---
Eleventh Row:
#### Problem 21: \( \sqrt{196} - \sqrt{4} - \sqrt{4} \)
- Simplify each square root:
- \( \sqrt{196} = 14 \)
- \( \sqrt{4} = 2 \)
- Subtract the values:
\[
14 - 2 - 2 = 10
\]
- Answer: \( 10 \)
#### Problem 22: \( \sqrt{400} - \sqrt{16} - \sqrt{9} \)
- Simplify each square root:
- \( \sqrt{400} = 20 \)
- \( \sqrt{16} = 4 \)
- \( \sqrt{9} = 3 \)
- Subtract the values:
\[
20 - 4 - 3 = 13
\]
- Answer: \( 13 \)
---
Twelfth Row:
#### Problem 23: \( \sqrt{9} + \sqrt{25} + \sqrt{25} \)
- Simplify each square root:
- \( \sqrt{9} = 3 \)
- \( \sqrt{25} = 5 \)
- Add the values:
\[
3 + 5 + 5 = 13
\]
- Answer: \( 13 \)
#### Problem 24: \( \sqrt{1} + \sqrt{36} + \sqrt{25} \)
- Simplify each square root:
- \( \sqrt{1} = 1 \)
- \( \sqrt{36} = 6 \)
- \( \sqrt{25} = 5 \)
- Add the values:
\[
1 + 6 + 5 = 12
\]
- Answer: \( 12 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
29 & 29 \\
-13 & 0 \\
37 & 13 \\
-20 & -26 \\
43 & 40 \\
17 & -5 \\
22 & 27 \\
-33 & -8 \\
0 & -17 \\
10 & 15 \\
10 & 13 \\
13 & 12 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of square root worksheet.