Question

qual o resultado da expressão a seguir?
$\sqrt{2048} - \sqrt{512}$
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Answer 1

$\sqrt{2048}-\sqrt{512}=$

$=\sqrt{2^{11}}-\sqrt{2^{9}}=$

$=\sqrt{2^{2}*2^{2}*2^{2}*2^{2}*2^{2}*2}-\sqrt{2^{2}*2^{2}*2^{2}*2^{2}*2}=$

$=2*2*2*2*2\sqrt{2}-2*2*2*2\sqrt{2}=$

$=32\sqrt{2}-16\sqrt{2}=$

$=16\sqrt{2}$