Operation with Square roots

Section 1: Addition and Subtraction of Square Roots

Simplify the following:

1. $\sqrt{16} + \sqrt{9}$
2. $\sqrt{25} + \sqrt{36}$
3. $\sqrt{49} - \sqrt{9}$
4. $\sqrt{100} - \sqrt{64}$
5. $\sqrt{81} + \sqrt{144}$

Section 2: Multiplication of Square Roots

Multiply and simplify:

6. $\sqrt{5} \times \sqrt{5}$
7. $\sqrt{2} \times \sqrt{8}$
8. $\sqrt{3} \times \sqrt{12}$
9. $2\sqrt{7} \times 3\sqrt{7}$
10. $4\sqrt{6} \times \sqrt{3}$

Section 3: Division of Square Roots

Divide and simplify:

11. $\frac{\sqrt{49}}{\sqrt{4}}$
12. $\frac{\sqrt{64}}{\sqrt{16}}$
13. $\frac{\sqrt{81}}{\sqrt{9}}$
14. $\frac{\sqrt{50}}{\sqrt{2}}$
15. $\frac{\sqrt{200}}{\sqrt{25}}$

Section 4: Mixed Operations with Square Roots

Simplify:

16. $\sqrt{9} + 2\sqrt{4} - \sqrt{1}$
17. $3\sqrt{2} + 2\sqrt{8} - \sqrt{18}$
18. $(2\sqrt{3} + \sqrt{12}) \times \sqrt{3}$
19. $\frac{\sqrt{32} + \sqrt{18}}{\sqrt{2}}$
20. $(5\sqrt{5} - 2\sqrt{20}) + (3\sqrt{45} - \sqrt{5})$

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