Question

calcule e simplifique (-5$\sqrt{20}$):(3$\sqrt{5}$)

Answer 1

Resposta:

$-\frac{10}{3}$

Explicação passo-a-passo:

$\frac{-5\sqrt{20}}{3\sqrt{5}}\\\\\frac{5\sqrt{20}}{3\cdot \:5^{\frac{1}{2}}}\\\\\frac{\sqrt{20}\cdot \:5^{-\frac{1}{2}+1}}{3}\\\\\frac{5^{\frac{1}{2}}\sqrt{20}}{3}\\\\-\frac{\sqrt{5}\sqrt{20}}{3}\\\\-\frac{5\sqrt{4}}{3}\\\\-\frac{5\cdot \:2}{3}\\\\-\frac{10}{3}$