Question

100 PONTOS
1) efetue as multiplicações
A) $\sqrt[3]{5}$X$\sqrt[3]{6}$ =
B)$\sqrt{2}$X$\sqrt{6}$X$\sqrt{3}$ =
C)$\sqrt{2}$X$\sqrt{8}$ =
D)$\sqrt{9}$X$\sqrt{12}$ =
E)2$\sqrt[6]{8}$X15$\sqrt[6]{13}$ =
F)2$\sqrt{3}$X5$\sqrt{7}$X2$\sqrt{9}$ =

2) efetue as divisões
A) $\sqrt[3]{20}$÷$\sqrt[3]{10}$ =
B)$\sqrt{28}$÷$\sqrt{7}$ =
C)30$\sqrt{15}$÷5$\sqrt{3}$ =
D)$\sqrt{45}$/$\sqrt{25}$ =
E)$\sqrt{12}$$\sqrt[3]{6}$/3$\sqrt[3]{2}$ = F)9$\sqrt{45}$÷3$\sqrt{9}$ =

3) simplififque as raízes
B)$\sqrt{108}$ =
C)$\sqrt{125}$ =
D)$\sqrt{245}$ =
E)$\sqrt{192}$ =
F)$\sqrt{243}$ =

Answer 1

Explicação passo-a-passo:

1)

a)

$\sf \sqrt[3]{5}\cdot\sqrt[3]{6}=\sqrt[3]{30}$

b)

$\sf \sqrt{2}\cdot\sqrt{6}\cdot\sqrt{3}=\sqrt{36}=6$

c)

$\sf \sqrt{2}\cdot\sqrt{8}=\sqrt{16}=4$

d)

$\sf \sqrt{9}\cdot\sqrt{12}=\sqrt{108}=6\sqrt{3}$

e)

$\sf 2\sqrt[6]{8}\cdot15\sqrt[6]{13}=30\sqrt[6]{104}$

f)

$\sf 2\sqrt{3}\cdot5\sqrt{7}\cdot2\sqrt{9}=20\sqrt{21}\cdot3=60\sqrt{21}$

2)

a)

$\sqrt[3]{20}\div\sqrt[3]{10}=\sqrt[3]{2}$

b)

$\sf \sqrt{28}\div\sqrt{7}=\sqrt{4}=2$

c)

$\sf 30\sqrt{15}\div5\sqrt{3}=6\sqrt{5}$

d)

$\sf \sqrt{45}\div\sqrt{25}=\dfrac{3\sqrt{5}}{5}$

e)

$\sf \dfrac{\sqrt{12}\cdot\sqrt[3]{6}}{3\sqrt[3]{2}}=\dfrac{2\sqrt{3}\cdot\sqrt[3]{3}}{3}$

$\sf =\dfrac{2\cdot\sqrt[6]{3^3}\cdot\sqrt[6]{3^2}}{3}=\dfrac{2\sqrt[6]{243}}{3}$

f)

$\sf 9\sqrt{45}\div3\sqrt{9}=3\sqrt{5}$

3)

b)

$\sf \sqrt{108}=\sqrt{36\cdot3}=6\sqrt{3}$

c)

$\sf \sqrt{125}=\sqrt{25\cdot5}=5\sqrt{5}$

d)

$\sf \sqrt{245}=\sqrt{49\cdot5}=7\sqrt{5}$

e)

$\sf \sqrt{192}=\sqrt{64\cdot3}=8\sqrt{3}$

f)

$\sf \sqrt{243}=\sqrt{81\cdot3}=9\sqrt{3}$