Question

Se A= √500+ √200+ √8+ √45 determine a forma mas simples de se escrever o n° A

Answer 1

$A= \sqrt{500} + \sqrt{200} + \sqrt{8} + \sqrt{45}$
$A= \sqrt{5*10^{2} } + \sqrt{2*10^{2} } + \sqrt{2*2^{2} } + \sqrt{5*3^{2} }$
$A=10 \sqrt{5} + 10 \sqrt{2} + 2\sqrt{2} +3 \sqrt{5}$
$A=10 \sqrt{5} +3 \sqrt{5} +10 \sqrt{2} + 2 \sqrt{2}$
$A= (10+3) \sqrt{2} + (10+2) \sqrt{2}$
$A= 13 \sqrt{5} + 12 \sqrt{2}$