Question

Simplifique as radicais √80​

Answer 1

Resposta:

Decompomos o 80 em fatores primos

$\\\\\\\\\left[\begin{array}{cc}80&2\\40&2\\20&2\\10&2\\5&5\\1\end{array}\right] \\\\80 = 2^{2} * 2^2*5 \\\\\\\\80 = 4^2*5\\\\\sqrt{80} =\sqrt{4^2*5} = \sqrt{4^2}*\sqrt{5}\\\\\sqrt{80} = 4\sqrt{5}$