531° Вправа 531Алгебра 8 клас Тарасенкова 2025 · § 13 · стор. 157

531. Знайдіть значення виразу:

1) ${\displaystyle \sqrt{7}\cdot \sqrt{7}=}$${\displaystyle {\left(\sqrt{7}\right)}^2=}$${\displaystyle 7}$;

2) ${\displaystyle \sqrt{0,03}\cdot \sqrt{3}=}$${\displaystyle \sqrt{0,03\cdot 3}=}$${\displaystyle \sqrt{0,09}=}$${\displaystyle 0,3}$;

3) ${\displaystyle \sqrt{32}\cdot \sqrt{2}=}$${\displaystyle \sqrt{32\cdot 2}=}$${\displaystyle \sqrt{64}=}$${\displaystyle 8}$;

4) ${\displaystyle \sqrt{3}\cdot \sqrt{12}=}$${\displaystyle \sqrt{3\cdot 12}=}$${\displaystyle \sqrt{36}=}$${\displaystyle 6}$;

5) ${\displaystyle \sqrt{5}\cdot \sqrt{35}\cdot \sqrt{7}=}$${\displaystyle \sqrt{5\cdot 5\cdot 7\cdot 7}=}$${\displaystyle \sqrt{5^2\cdot 7^2}=}$${\displaystyle 5\cdot 7=}$${\displaystyle 35}$;

6) ${\displaystyle \sqrt{0,3}\cdot \sqrt{15}\cdot \sqrt{0,5}=}$${\displaystyle \sqrt{0,3\cdot 15\cdot 0,5}=}$${\displaystyle \sqrt{2,25}=}$${\displaystyle 1,5}$.