Question

qual o valor de:
$\sqrt{2 + \sqrt{3. \sqrt{15} } }$
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Answer 1

$\Large\boxed{\begin{array}{l}\sf\sqrt{2+\sqrt{3\cdot\sqrt{15}}}\\\sf=\sqrt{2+\sqrt{\sqrt{3^2\cdot15}}}\\\sf=\sqrt{2+\sqrt{\sqrt{135}}}\\\sf=\sqrt{2+\sqrt[\sf4]{\sf135}}\end{array}}$