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sqrt 3 - sqrt (1/3)
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\[\sqrt{3}-\sqrt{\frac{1}{3}}=\sqrt{3}-\frac{\sqrt{1}}{\sqrt{3}}=\sqrt{3}-\frac{1}{\sqrt{3}}\]
then
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\[\sqrt{3}-\frac{1}{\sqrt{3}}=\frac{3-1}{\sqrt{3}}=\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}\]
The last line just uses cross multiplication to put the whole thing over a common denominator, and in the last step, we've multiplied by \[\frac{\sqrt{3}}{\sqrt{3}}\]which is just 1 (so we put the surd expression into a 'nicer' form without changing the number.
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