Question

calcule.
$\sqrt{16} + \sqrt{ \frac{1}{9} } - \sqrt{ \frac{1}{4 } }$
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Answer 1

$\sqrt{16}~+~\sqrt{\frac{1}{9}}~-~\sqrt{\frac{1}{4}}~=\\\\\\=~4~+~\frac{\sqrt{1}}{\sqrt{9}}~-~\frac{\sqrt{1}}{\sqrt{4}}~=\\\\\\=~4+\frac{1}{3}-\frac{1}{2}~=~\\\\\\=~\frac{6~.~4~+~2~.~1~-~3~.~1}{6}~=\\\\\\=~\frac{24~+~2~-~3}{6}~=\\\\\\=~\boxed{\frac{23}{6}}$