Adding and Subtracting 3 Square Roots worksheet with problems involving square root operations.

To solve these problems, we first need to find the square root of each number. A square root is a number that, when multiplied by itself, gives the original number. For example, $\sqrt{16} = 4$ because $4 \times 4 = 16$.

Once we have the simple numbers for each square root, we just add or subtract them as shown in the problem.

Here is the step-by-step solution for each row:

Row 1:
* Left: $\sqrt{121} + \sqrt{196} + \sqrt{16}$
* $\sqrt{121} = 11$
* $\sqrt{196} = 14$
* $\sqrt{16} = 4$
* $11 + 14 + 4 = 29$
* Right: $\sqrt{121} + \sqrt{144} + \sqrt{36}$
* $\sqrt{121} = 11$
* $\sqrt{144} = 12$
* $\sqrt{36} = 6$
* $11 + 12 + 6 = 29$

Row 2:
* Left: $\sqrt{64} - \sqrt{225} - \sqrt{36}$
* $\sqrt{64} = 8$
* $\sqrt{225} = 15$
* $\sqrt{36} = 6$
* $8 - 15 - 6 = -13$
* Right: $\sqrt{625} - \sqrt{36} - \sqrt{361}$
* $\sqrt{625} = 25$
* $\sqrt{36} = 6$
* $\sqrt{361} = 19$
* $25 - 6 - 19 = 0$

Row 3:
* Left: $\sqrt{25} + \sqrt{4} + \sqrt{900}$
* $\sqrt{25} = 5$
* $\sqrt{4} = 2$
* $\sqrt{900} = 30$
* $5 + 2 + 30 = 37$
* Right: $\sqrt{4} + \sqrt{49} + \sqrt{16}$
* $\sqrt{4} = 2$
* $\sqrt{49} = 7$
* $\sqrt{16} = 4$
* $2 + 7 + 4 = 13$

Row 4:
* Left: $\sqrt{9} - \sqrt{25} - \sqrt{324}$
* $\sqrt{9} = 3$
* $\sqrt{25} = 5$
* $\sqrt{324} = 18$
* $3 - 5 - 18 = -20$
* Right: $\sqrt{9} - \sqrt{64} - \sqrt{441}$
* $\sqrt{9} = 3$
* $\sqrt{64} = 8$
* $\sqrt{441} = 21$
* $3 - 8 - 21 = -26$

Row 5:
* Left: $\sqrt{49} + \sqrt{784} + \sqrt{64}$
* $\sqrt{49} = 7$
* $\sqrt{784} = 28$
* $\sqrt{64} = 8$
* $7 + 28 + 8 = 43$
* Right: $\sqrt{49} + \sqrt{625} + \sqrt{64}$
* $\sqrt{49} = 7$
* $\sqrt{625} = 25$
* $\sqrt{64} = 8$
* $7 + 25 + 8 = 40$

Row 6:
* Left: $\sqrt{729} - \sqrt{49} - \sqrt{9}$
* $\sqrt{729} = 27$
* $\sqrt{49} = 7$
* $\sqrt{9} = 3$
* $27 - 7 - 3 = 17$
* Right: $\sqrt{64} - \sqrt{81} - \sqrt{16}$
* $\sqrt{64} = 8$
* $\sqrt{81} = 9$
* $\sqrt{16} = 4$
* $8 - 9 - 4 = -5$

Row 7:
* Left: $\sqrt{144} + \sqrt{36} + \sqrt{16}$
* $\sqrt{144} = 12$
* $\sqrt{36} = 6$
* $\sqrt{16} = 4$
* $12 + 6 + 4 = 22$
* Right: $\sqrt{144} + \sqrt{169} + \sqrt{4}$
* $\sqrt{144} = 12$
* $\sqrt{169} = 13$
* $\sqrt{4} = 2$
* $12 + 13 + 2 = 27$

Row 8:
* Left: $\sqrt{49} - \sqrt{400} - \sqrt{400}$
* $\sqrt{49} = 7$
* $\sqrt{400} = 20$
* $7 - 20 - 20 = -33$
* Right: $\sqrt{49} - \sqrt{25} - \sqrt{100}$
* $\sqrt{49} = 7$
* $\sqrt{25} = 5$
* $\sqrt{100} = 10$
* $7 - 5 - 10 = -8$

Row 9:
* Left: $\sqrt{900} - \sqrt{400} - \sqrt{100}$
* $\sqrt{900} = 30$
* $\sqrt{400} = 20$
* $\sqrt{100} = 10$
* $30 - 20 - 10 = 0$
* Right: $\sqrt{400} - \sqrt{36} - \sqrt{961}$
* $\sqrt{400} = 20$
* $\sqrt{36} = 6$
* $\sqrt{961} = 31$
* $20 - 6 - 31 = -17$

Row 10:
* Left: $\sqrt{81} + \sqrt{1} + \sqrt{0}$
* $\sqrt{81} = 9$
* $\sqrt{1} = 1$
* $\sqrt{0} = 0$
* $9 + 1 + 0 = 10$
* Right: $\sqrt{81} + \sqrt{9} + \sqrt{9}$
* $\sqrt{81} = 9$
* $\sqrt{9} = 3$
* $9 + 3 + 3 = 15$

Row 11:
* Left: $\sqrt{196} - \sqrt{4} - \sqrt{4}$
* $\sqrt{196} = 14$
* $\sqrt{4} = 2$
* $14 - 2 - 2 = 10$
* Right: $\sqrt{400} - \sqrt{16} - \sqrt{9}$
* $\sqrt{400} = 20$
* $\sqrt{16} = 4$
* $\sqrt{9} = 3$
* $20 - 4 - 3 = 13$

Row 12:
* Left: $\sqrt{9} + \sqrt{25} + \sqrt{25}$
* $\sqrt{9} = 3$
* $\sqrt{25} = 5$
* $3 + 5 + 5 = 13$
* Right: $\sqrt{1} + \sqrt{36} + \sqrt{25}$
* $\sqrt{1} = 1$
* $\sqrt{36} = 6$
* $\sqrt{25} = 5$
* $1 + 6 + 5 = 12$

Final Answer:
Left Column:
1. 29
2. -13
3. 37
4. -20
5. 43
6. 17
7. 22
8. -33
9. 0
10. 10
11. 10
12. 13

Right Column:
1. 29
2. 0
3. 13
4. -26
5. 40
6. -5
7. 27
8. -8
9. -17
10. 15
11. 13
12. 12