Rationalize the denominator and simplify. \[ \frac{\sqrt{3}-\sqrt{2}}{\sqrt[4]{4}} \]
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The fourth root of 4 is $\sqrt{2}$. So, the expression becomes $\frac{\sqrt{3}-\sqrt{2}}{\sqrt{2}}$. To rationalize the denominator, we multiply the numerator and the denominator by the conjugate of the denominator, which is $\sqrt{2}$. Show more…
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