754 Вправа 754Алгебра 8 клас Бевз 2025 · § 15 · стор. 145

754. Обчисли значення виразу.

а) ${\displaystyle \sqrt{10\cdot 490}=}$${\displaystyle \sqrt{100\cdot 49}=}$${\displaystyle 10\cdot 7=}$${\displaystyle 70}$;

б) ${\displaystyle \sqrt{360\cdot 40}=}$${\displaystyle \sqrt{3600\cdot 4}=}$${\displaystyle 60\cdot 2=}$${\displaystyle 120}$;

в) ${\displaystyle \sqrt{7\cdot 700}=}$${\displaystyle \sqrt{49\cdot 100}=}$${\displaystyle 7\cdot 10=}$${\displaystyle 70}$;

г) ${\displaystyle \sqrt{12\cdot 48}=}$${\displaystyle \sqrt{144\cdot 4}=}$${\displaystyle 12\cdot 2=}$${\displaystyle 24}$;

ґ) ${\displaystyle \sqrt{72\cdot 32}=}$${\displaystyle \sqrt{36\cdot 2\cdot 2\cdot 16}=}$${\displaystyle \sqrt{36\cdot 4\cdot 16}}$=

=${\displaystyle 6\cdot 2\cdot 4=}$${\displaystyle 48}$;

д) ${\displaystyle \sqrt{80\cdot 45}=}$${\displaystyle \sqrt{3600}=}$${\displaystyle 60}$;

е) ${\displaystyle \sqrt{1,6\cdot 90}=}$${\displaystyle \sqrt{16\cdot 9}=}$${\displaystyle 4\cdot 3=}$${\displaystyle 12}$;

є) ${\displaystyle \sqrt{6,4\cdot 250}=}$${\displaystyle \sqrt{64\cdot 25}=}$${\displaystyle 8\cdot 5=}$${\displaystyle 40}$.