Question

Decompor o número primo de 1296e calcular a raiz

Answer 1

Olá.

$\begin{array}{ccc}1296&|&2\\648&|&2\\324&|&2\\162&|&2\\81&|&3\\27&|&3\\9&|&3\\3&|&3\\1\\\end{array}\\\\\\\\\mathsf{\sqrt{2^4\cdot3^4}=2^2\cdot3^2=4\cdot9=\boxed{\mathsf{36}}}$

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Bons estudos.