Question

знайдіть значення виразу 1) ³√125×64​

Answer 1

1)

$\sqrt[3]{125*64} = \sqrt[3]{5^3*4^3} = 5*4=20$

2)

$\sqrt{0,0016*256} = \sqrt{0,04^2 * 16^2} = 0,04*16 = 0,64$

3)

$\sqrt[3]{0,027*125} = \sqrt[3]{0,3^3*5^3} = 0,3*5 = 1,5$

4)

$\sqrt[5]{\frac{1}{243}*1024} = \sqrt[5]{\frac{1}{3^5}* 4^5} = \frac{4}{3}$

5)

$\sqrt{49*\frac{1}{36}*625} = 7*\frac{1}{6}*25 = \frac{175}{6}$

6)

$\sqrt[4]{\frac{625}{16}} = \frac{5}{2} = 2,5$

7)

$\sqrt[4]{\frac{81}{625}} = \frac{3}{5} = 0,6$

8)

$\sqrt[3]{\frac{27}{125}} = \frac{3}{5} = 0,6$

9)

$\sqrt[5]{7\frac{19}{32}} = \sqrt[5]{\frac{243}{32}} = \frac{3}{2} = 1,5$

10)

$\sqrt[4]{324} * \sqrt[4]{4} = \sqrt[4]{324*4} = \sqrt[4]{1296} = 6$

11)

$\sqrt[3]{50} * \sqrt[3]{20} = \sqrt[3]{1000} = 10$

12)

$\sqrt[4]{3} * \sqrt[4]{27} = \sqrt[4]{3^4} = 3$