Question
Rationalize the denominator of $\frac{3}{2 \sqrt{7}}$

Answer

$\frac{3}{2 \sqrt{7}}=\frac{3}{2 \sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}}=\frac{3 \sqrt{7}}{2 \times 7}=\frac{3 \sqrt{7}}{14}$
...(multiply $2 \sqrt{7}$ by $\sqrt{7}$ is sufficient to rationalize.)

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