Question

efetue as multiplicações e divisões:

a)
$2 \sqrt{3} .5 \sqrt{7}$
b)
$3 \sqrt{7} .2 \sqrt{5}$
c)
$2 \sqrt[3]{3} .3 \sqrt[3]{3}$
d)
$5 \sqrt{3}. \sqrt{7}$
e)
$12 \sqrt[4]{25} \div 2 \sqrt[4]{5}$
f)
$18 \sqrt[3]{14} \div 6 \sqrt[3]{7}$
g)
$10 \sqrt{8} \div 2 \sqrt{2}$









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Answer 1

Explicação passo-a-passo:

a)

$\sf 2\sqrt{3}\cdot5\sqrt{7}$

$\sf =2\cdot5\cdot\sqrt{3\cdot7}$

$\sf =\red{10\sqrt{21}}$

b)

$\sf 3\sqrt{7}\cdot2\sqrt{5}$

$\sf =3\cdot2\cdot\sqrt{7\cdot5}$

$\sf =\red{6\sqrt{35}}$

c)

$\sf 2\sqrt[3]{3}\cdot3\sqrt[3]{3}$

$\sf =2\cdot3\cdot\sqrt[3]{3\cdot3}$

$\sf =\red{6\sqrt[3]{9}}$

d)

$\sf 5\sqrt{3}\cdot\sqrt{7}$

$\sf =5\cdot\sqrt{3\cdot7}$

$\sf =\red{5\sqrt{21}}$

e)

$\sf 12\sqrt[4]{25}\div2\sqrt[4]{5}$

$\sf =(12\div2)\cdot\sqrt[4]{25\div5}$

$\sf =\red{6\sqrt[4]{5}}$

f)

$\sf 18\sqrt[3]{14}\div6\sqrt[3]{7}$

$\sf =(18\div6)\cdot\sqrt[3]{14\div7}$

$\sf =\red{3\sqrt[3]{2}}$

g)

$\sf 10\sqrt{8}\div2\sqrt{2}$

$\sf =(10\div2)\cdot\sqrt{8\div2}$

$\sf =5\cdot\sqrt{4}$

$\sf =5\cdot2$

$\sf =\red{10}$