Multiplying Square Roots Worksheet - Free Printable

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.

---

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:

\[
\boxed{
\begin{array}{ll}
29 & 29 \\
-13 & 0 \\
37 & 13 \\
-20 & -26 \\
43 & 40 \\
17 & -5 \\
22 & 27 \\
-33 & -8 \\
0 & -17 \\
10 & 15 \\
10 & 13 \\
13 & 12 \\
\end{array}
}
\]