Question

Calcule:
10²=x.5√5
Quero cálculos ....

Answer 1

$10^{2}=x*5\sqrt{5} \\ \frac{100}{5}=x\sqrt{5} \\ 20=x\sqrt{5} \\ x=\frac{20}{\sqrt{5}}*\frac{\sqrt{5}}{\sqrt{5}}=\frac{20\sqrt{5}}{5}=4\sqrt{5}$

Veja que de fato:
$10^{2}=4\sqrt{5}*5\sqrt{5} \\ 100=20*5 \\ 100=100$

Answer 2

Oie, Td Bom?!

$10 {}^{2} = x \: . \: 5 \sqrt{5}$

$100 = 5 \sqrt{5} x$

$5 \sqrt{5} x = 100$

$x = \frac{100}{5 \sqrt{5} }$

$x = \frac{20}{ \sqrt{5} }$

$x = \frac{20}{ \sqrt{5} } \: . \: \frac{ \sqrt{5} }{ \sqrt{5} }$

$x = \frac{20 \sqrt{5} }{ \sqrt{5} \sqrt{5} }$

$x = \frac{20 \sqrt{5} }{5}$

$x = 4 \sqrt{5}$

Att. Makaveli1996