Question

Calcule com fatoração:
a)√8 e)√50
b)√10 f)√15
c)√12 g)√4×√9
d)√60 h)√10×√8

Answer 1

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$\boxed{\begin{array}{l}\rm a)~\sf\sqrt{8}=\sqrt{2^2\cdot2}=2\sqrt{2}\\\rm b)~\sf\sqrt{10}\implies n\tilde ao~simplifica\\\rm c)~\sf\sqrt{12}=\sqrt{2^2\cdot3}=2\sqrt{3}\\\rm d)~\sf\sqrt{60}=\sqrt{2^2\cdot3\cdot5}=2\sqrt{15}\\\rm e)~\sf\sqrt{50}=\sqrt{2\cdot5^2}=5\sqrt{2}\\\rm f)~\sf\sqrt{15}\implies n\tilde ao~simplifica\\\rm g)~\sf\sqrt{4}\times\sqrt{9}=2\cdot3=6\\\rm h)~\sf\sqrt{10}\times\sqrt{8}=\sqrt{80}=\sqrt{2^4\cdot5}=4\sqrt{5}\end{array}}$