Question

Qual é a raiz simplificada de 500?

Answer 1

$\large\boxed{\begin{array}{l}\begin{array}{r|l}\sf500&\sf2\\\sf250&\sf2\\\sf125&\sf5\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\\\sf\sqrt{500}=\sqrt{2^2\cdot5^2\cdot5}\\\sf\sqrt{500}=2\cdot5\sqrt{5}\\\sf\sqrt{500}=10\sqrt{5}\end{array}}$