Question

o valor de √¯2 + √¯3.√¯18 é igual a 

Answer 1

$\sqrt{2}+\sqrt{3}.\sqrt{18}=\sqrt{2}+\sqrt{3.18}\\\sqrt{2}+\sqrt{3}.\sqrt{18}=\sqrt{2}+\sqrt{54}$
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$\sqrt{54}=\sqrt{6*9}=\sqrt{6}*\sqrt{9}=\sqrt{6}*3=3\sqrt{6}$
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$\sqrt{2}+\sqrt{3}.\sqrt{18}=\sqrt{2}+\sqrt{54}\\\\\boxed{\boxed{\sqrt{2}+\sqrt{3}.\sqrt{18}=\sqrt{2}+3\sqrt{6}}}$

Ou, se preferir: $\sqrt{2}+\sqrt{3}.\sqrt{18}=\sqrt{2}(1+3\sqrt{3})$