Question

Qual a forma simplificada da expressão $\frac{\sqrt{800}-\sqrt{1800} }{\sqrt{5000} }$

Answer 1

Oi

Vamos usar uma regrinha básica e simplificá-los ...

$\dfrac{\sqrt{800} -\sqrt{1800} }{\sqrt{5000} } \\\\\\\dfrac{\sqrt{2.400} -\sqrt{2.900} }{\sqrt{2.2500} } \\\\\\\dfrac{\sqrt{2.20^{2}}-\sqrt{2.30^{2}} }{\sqrt{2.50^{2}} } \\\\\\\dfrac{20\sqrt{2} -30\sqrt{2} }{50\sqrt{2} }\\\\\\\dfrac{-10\sqrt{2} }{50\sqrt{2} } =\boxed{\boxed{-\frac{1}{5} }}$

Bons estudos! :)