Question

Simplificando o radical √75 vamos obter: *

a: 3√5

b: 5√3

c: 3∛5



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Answer 1

$\sqrt{75}~=\\\\\\=~\sqrt{3\cdot5\cdot5}\\\\\\=~\sqrt{3\cdot5^2}\\\\\\=~\sqrt{3}~\cdot~\sqrt{5^2}\\\\\\=~\sqrt{3}~\cdot~\sqrt[2\!\!\!\backslash]{5^{2\!\!\!\backslash}}\\\\\\=~\sqrt{3}~\cdot~5\\\\\\=~\boxed{5\sqrt{3}}$