Odpowiedź :
1. [tex]\sqrt{9}[/tex] + [tex]\sqrt{16}[/tex] =
= 3 + 4 = 7
2. [tex]\sqrt{36}[/tex] + [tex]\sqrt{64}[/tex] =
= 6 + 8 = 14
3. [tex]\sqrt{100}[/tex] - [tex]\sqrt{64}[/tex] =
= 10 - 8 = 2
4. [tex]\sqrt{36 + 64}[/tex] =
= [tex]\sqrt{100}[/tex] = 10
5. [tex]\sqrt{48}[/tex] * [tex]\sqrt{3}[/tex] =
= [tex]\sqrt{144}[/tex] = 12
6. [tex]\sqrt{2}[/tex] * [tex]\sqrt{8}[/tex] =
= [tex]\sqrt{16}[/tex] = 4
7. [tex]\sqrt{18}[/tex] : [tex]\sqrt{2}[/tex] =
= [tex]\sqrt{9}[/tex] = 3
8. [tex]\sqrt{3}[/tex] * [tex]\sqrt{12}[/tex] =
= [tex]\sqrt{36}[/tex] = 6
9. [tex]\sqrt{16 * 49}[/tex] =
= 4 * 7 = 28
10. [tex]\sqrt{25 * 36}[/tex] =
= 5 * 6 = 30
11. [tex]\sqrt{36 : 16}[/tex] =
= [tex]\sqrt{\frac{36}{16}}[/tex] =
= [tex]\sqrt{\frac{9}{4}}[/tex] = [tex]\frac{3}{2}[/tex]
12. [tex]\sqrt{1 \frac{9}{16} }[/tex] =
= [tex]\sqrt{\frac{25}{16} }[/tex] = [tex]\frac{5}{4}[/tex]
13. [tex]\sqrt{3 \frac{1}{16} }[/tex] =
= [tex]\sqrt{\frac{49}{16} }[/tex] = [tex]\frac{7}{4}[/tex]
14. [tex]2 \sqrt{7}[/tex] + [tex]\sqrt{7}[/tex] =
= [tex]3\sqrt{7}[/tex]
15. [tex]3\sqrt{2}[/tex] + [tex]5\sqrt{2}[/tex] =
= [tex]8\sqrt{2}[/tex]
16. [tex]5\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] =
= [tex]4\sqrt{2}[/tex]
17. [tex]3\sqrt{5}[/tex] - [tex]2\sqrt{5}[/tex] =
= [tex]\sqrt{5}[/tex]
18. [tex]\sqrt{48}[/tex] =
= [tex]\sqrt{4^{2} * 3}[/tex] =
= [tex]\sqrt{4^{2} }[/tex] * [tex]\sqrt{3}[/tex] = [tex]4\sqrt{3}[/tex]
19. [tex]\sqrt{50}[/tex] =
= [tex]\sqrt{ 5^{2} * 2}[/tex] =
= [tex]\sqrt{5^{2} }[/tex] * [tex]\sqrt{2}[/tex] = [tex]5\sqrt{2}[/tex]
20. [tex]\sqrt{24}[/tex] =
= [tex]\sqrt{ 2^{2} * 6}[/tex] =
= [tex]\sqrt{2^{2} }[/tex] * [tex]\sqrt{6}[/tex] = [tex]2\sqrt{6}[/tex]
21. [tex]\sqrt{80}[/tex] =
= [tex]\sqrt{4^{2} * 5}[/tex] =
= [tex]\sqrt{4^{2} }[/tex] * [tex]\sqrt{5}[/tex] = [tex]4\sqrt{5}[/tex]
22. [tex]\frac{1}{2} \sqrt{8}[/tex] =
= [tex]\frac{1}{2} * \sqrt{2^{2} *2}[/tex] =
= [tex]\frac{1}{2} * \sqrt{2^{2} } * \sqrt{2}[/tex] =
= [tex]\frac{1}{2} * 2\sqrt{2}[/tex] = [tex]\sqrt{2}[/tex]
23. [tex]5\sqrt{3}[/tex] =
= [tex]\sqrt{5^{2} } * \sqrt{3}[/tex] =
= [tex]\sqrt{5^{2} * 3}[/tex] =
= [tex]\sqrt{25 * 3}[/tex] = [tex]\sqrt{75}[/tex]
24. [tex]7\sqrt{2}[/tex] =
= [tex]\sqrt{7^{2} } * \sqrt{2}[/tex] =
= [tex]\sqrt{7^{2} * 2}[/tex] =
= [tex]\sqrt{49 * 2}[/tex] = [tex]\sqrt{98}[/tex]
25. [tex]3\sqrt{11}[/tex] =
= [tex]\sqrt{3^{2} } * \sqrt{11}[/tex] =
= [tex]\sqrt{3^{2} * 11}[/tex] =
= [tex]\sqrt{9 * 11}[/tex] = [tex]\sqrt{99}[/tex]