Question

$\sqrt{46 + 1 \sqrt{64} }$
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Answer 1

$\sqrt{46+1\sqrt{64}}~=\\\\\\=~\sqrt{46~+~1~.~8}~=\\\\\\=~\sqrt{46+8}~=\\\\\\=~\sqrt{54}~=\\\\\\=~\sqrt{3~.~3~.~3~.~2}~=\\\\\\=~\sqrt{3^2~.~3~.~2}~=\\\\\\=~3\sqrt{3~.~2}~=\\\\\\=~\boxed{3\sqrt{6}}$