Question

simplifique as expressões abaixo

5√486/5√2

Answer 1

$\frac{5 \sqrt{486} }{5 \sqrt{2} } \\ |486| 2 \\ |243| 3 \\ |81 \: \: | 3 \\ |27 \: \: | 3 \\ |9 \: \: \: \: | 3 \\ |3 \: \: \: \: | 3 \\ |1 \: \: \: \: | \\ \frac{5.9 \sqrt{6} }{5 \sqrt{2} } = \frac{45 \sqrt{6} }{5 \sqrt{2} } \: . \: \frac{5 \sqrt{2} }{5 \sqrt{2} } = \frac{225 \sqrt{12} }{50} = \\ = \frac{45 \sqrt{12} }{10} = \frac{9 \sqrt{12} }{2} = \frac{9.2 \sqrt{3} }{2} = 9 \sqrt{3}$