Question

como simplificar a raiz de 900

Answer 1

$\sqrt{900} = \sqrt{2^2.3^2.5^2} =2.3.5=30$

900|2
450|2
225|3
  75|3
  25|5
    5|5
    1

$900=2^2.3^2.5^2$

Answer 2

$\large\boxed{\begin{array}{l} \begin{array}{r|l}\sf900&\sf2\\\sf450&\sf2\\\sf225&\sf3\\\sf75&\sf3\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\\\sf\sqrt{900}=\sqrt{2^{2}\cdot3^{2}\cdot5^{2}}\\\sf\sqrt{900}=2\cdot3\cdot5\\\sf\sqrt{900}=30\end{array}}$