Question

transforme em um unico radical

Answer 1

a) $\sqrt{3}$ × $\sqrt{5}$

$\sqrt{3.5}$

$\sqrt{15}$

b) $\sqrt[3]{7}$ × $\sqrt[3]{11}$

$\sqrt[3]{7.11}$

$\sqrt[3]{77}$

c) $\sqrt{2}$ × $\sqrt{5}$ × $\sqrt{7}$

$\sqrt{2.5.7}$

$\sqrt{70}$

d) $\sqrt[12]{5}$ × $\sqrt[12]{10}$

$\sqrt[12]{5.10}$

$\sqrt[12]{50}$

e) $\frac{\sqrt{12}*\sqrt{15} }{\sqrt{8} }$

$\frac{\sqrt{3} *\sqrt{15} }{\sqrt{2} }$

$\frac{\sqrt{45} }{\sqrt{2} }$

$\frac{3\sqrt{5} }{\sqrt{2} }$

$\frac{3\sqrt{5} }{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }$

$\frac{3\sqrt{10} }{2}$

f) $\frac{\sqrt[3]{9}*\sqrt[3]{10} }{\sqrt[3]{4} \sqrt[3]{3} }$

$\frac{\sqrt[3]{3} *\sqrt[3]{2} }{\sqrt[3]{4} *\sqrt[3]{3} }$

$\frac{1}{\sqrt[3]{2} }$

$\frac{1\sqrt[3]{2^{2} } }{\sqrt[3]{2}\sqrt[3]{2^{2} } }$

$\frac{\sqrt[3]{4} }{\sqrt[3]{2^{3} } }$

$\frac{\sqrt[3]{4} }{2}$

g) $\frac{\sqrt[6]{4}*\sqrt{\sqrt[3]{10} } }{\sqrt[6]{120} }$

$\frac{\sqrt{\sqrt[3]{10} } }{\sqrt[6]{30} }$

$\frac{\sqrt[6]{10} }{\sqrt[6]{30} }$

$\frac{1}{\sqrt[6]{3} }$

$\frac{1\sqrt[6]{3^{5} } }{\sqrt[6]{3} \sqrt[6]{3^{5} } }$

$\frac{\sqrt[6]{243} }{\sqrt[6]{3^{6} } }$

$\frac{\sqrt[6]{243} }{3}$