Question

quem souber por favor me ajude que é para entregar amanhã
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Answer 1

Resposta:

Explicação passo a passo:

$a)$

$\sqrt{14}:\sqrt{7} =\sqrt{\frac{14}{7} } =\sqrt{2}$

$b)$

$\sqrt{168}:\sqrt{3}=\sqrt{\frac{168}{3} } =\sqrt{56} =\sqrt{2^{2}.2.7 } =2\sqrt{14}$

$c)$

$\sqrt[3]{135}:\sqrt[3]{5}=\sqrt[3]{\frac{135}{5} }=\sqrt[3]{27} =3$

$d)$

$\sqrt{24} :\sqrt{4} =\sqrt{\frac{24}{4} }=\sqrt{6}$

$e)$

$\sqrt{240}:\sqrt{6}=\sqrt{\frac{240}{6} } =\sqrt{40} =\sqrt{2^{2}.10 } =2\sqrt{10}$

$f)$

$\sqrt{96}:\sqrt{2} =\sqrt{\frac{96}{2} } =\sqrt{48} =\sqrt{2^{2}.2^{2}.3 } =4\sqrt{3}$

$g)$

$\sqrt{54}:\sqrt{3}=\sqrt{\frac{54}{3} } =\sqrt{18}=\sqrt{2.3^{2} } =3\sqrt{2}$

$h)$

$\frac{\sqrt{27}.\sqrt{8} }{\sqrt{3} } =\frac{\sqrt{216} }{\sqrt{3} } =\sqrt{\frac{216}{3} }=\sqrt{72}=\sqrt{2^{2}.2.3^{2} } =6\sqrt{2}$

$i)$

$\frac{\sqrt{7} .\sqrt{8} }{\sqrt{2} } =\frac{\sqrt{56} }{\sqrt{2} } =\sqrt{\frac{56}{2} }=\sqrt{28} =\sqrt{2^{2}.7 } =2\sqrt{7}$