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Subtract $6\sqrt{\frac{1}{2}}$ from $\sqrt{8}$.
Given: Surds $6\sqrt{\frac{1}{2}}$ and $\sqrt{8}$.
To do: To subtract $6\sqrt{\frac{1}{2}}$ from $\sqrt{8}$.
Solution:
$\sqrt{8}-6\sqrt{\frac{1}{2}}$
$=\sqrt{8}-\sqrt{6\times6\times\frac{1}{2}}$
$=\sqrt{8}-\sqrt{18}$
$=2\sqrt{2}-3\sqrt{2}$
$=-\sqrt{2}$
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