Question

Efetue os cálculos. ​

Answer 1

Explicação passo-a-passo:

A)

$\sqrt{324} \div \sqrt{6}$

$18 \div \sqrt{6}$

$\dfrac{18}{ \sqrt{6} }$

$\dfrac{18}{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} }$

$\dfrac{18 \sqrt{6} }{ \sqrt{6 \times 6} }$

$\dfrac{18 \sqrt{6} }{ \sqrt{36} }$

$\dfrac{18 \sqrt{6} }{ 6 }$

=>3√6

B)

$\sqrt[3]{3750} \div \sqrt[3]{3}$

$\sqrt[3]{3750 \div 3}$

$\sqrt[3]{1250}$

$\sqrt[3]{5 {}^{3} \times 10 }$

$\sqrt[3]{5 {}^{3} } \sqrt[3]{10}$

=>5³√10

C)

$\sqrt{38} \times \sqrt{6}$

$\sqrt{38 \times 6}$

$\sqrt{224}$

$\sqrt{2 {}^{2} \times 57}$

$\sqrt{2 {}^{2} } \sqrt{57}$

=>2√57

D)

$\sqrt[4]{288} \div \sqrt[4]{18}$

$\sqrt[4]{288 \div 18}$

$\sqrt[4]{16}$

$\sqrt[4]{2 {}^{4} }$

=>2