Question

Simplifique a expressão e calcule a soma algébrica:

Answer 1

$\frac{3}{2}\sqrt{90}-\frac{1}{4}\sqrt{250}-\frac{1}{4}\sqrt{10}\\\\\frac{3}{2}\sqrt{9\;.\;10}-\frac{1}{4}\sqrt{25\;.\;10}-\frac{1}{4}\sqrt{10}\\\\\frac{3}{2}\sqrt{9}\;.\;\sqrt{10}-\frac{1}{4}\sqrt{25}\;.\;\sqrt{10}-\frac{1}{4}\sqrt{10}\\\\\frac{3}{2}\;.\;3\;.\;\sqrt{10}-\frac{1}{4}\;.\;5\;.\;\sqrt{10}-\frac{1}{4}\sqrt{10}\\\\\frac{9}{2}\sqrt{10}-\frac{5}{4}\sqrt{10}-\frac{1}{4}\sqrt{10}\\\\\left(\frac{9}{2}-\frac{5}{4}-\frac{1}{4}\right)\sqrt{10}$

$\left(\frac{18}{4}-\frac{5}{4}-\frac{1}{4}\right)\sqrt{10}\\\\\left(\frac{18-5-1}{4}\right)\sqrt{10}\\\\\frac{12}{4}\sqrt{10}\\\\3\sqrt{10}$