Question

найдите значение корня ​

Answer 1

Ответ:

1) 5

2) 12

3) 25

4) 15

5) 12

6) 45

7) 6

8) 1

Answer 2

Ответ:

$1) \sqrt{13^2-12^2} = \sqrt{(13-12)(13+12)} = \sqrt{1*25} = \sqrt{25} = 5\\\\2) \sqrt{21,8^2-18,2^2} = \sqrt{(21,8-18,2)(21,8+18,2)} = \sqrt{3,6*40} = \sqrt{144} = 12 \\\\3) \sqrt{313^2-312^2} = \sqrt{(313-312)(312+313)} = \sqrt{1*625} = \sqrt{625} = 25$

$4) \sqrt{17^2-64} = \sqrt{17^2-8^2} = \sqrt{(17-8)(17+8)} = \sqrt{9*25} = \sqrt{225} = 15\\\\5) \sqrt{45,8^2-44,2^2} = \sqrt{(45,8-44,2)(45,8+44,2)} = \sqrt{1,6*90} = \sqrt{144} = 12\\ \\6) \sqrt{117^2-108^2} = \sqrt{(117-108)(117+108)} = \sqrt{9*225} = \sqrt{2025} = 45$

$7) \sqrt{6,8^2-3,2^2} = \sqrt{(6,8-3,2)(6,8+3,2)} = \sqrt{3,6*10} = \sqrt{36} = 6\\    \\8)\sqrt{(2\frac{3}{5})^2-(2\frac{2}{5})^2} = \sqrt{(2,6-2,4)(2,6+2,4)} = \sqrt{0,2*5} = \sqrt{1} = 1$