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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Updated on: 10-Oct-2022

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