Question

valor da expressão
$\sqrt{2. \sqrt{32} }$
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Answer 1

$\large\boxed{\begin{array}{l}\rm\sqrt{2\sqrt{32}}=\sqrt{\sqrt{2^2\cdot2^5}}\\\rm\sqrt{2\sqrt{32}}=\sqrt{\sqrt{ 2^7}}\\\\\rm\sqrt{2\sqrt{32}}=\sqrt[\rm4]{\rm2^7}\\\rm\sqrt{2\sqrt{32}}=\sqrt[\rm4]{\rm2^4\cdot2^3}\\\rm\sqrt{2\sqrt{32}}=2\sqrt[\rm4]{\rm8}\end{array}}$