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To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{6}$
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$\frac{6}{\sqrt{6}}\cdot \frac{\sqrt{6}}{\sqrt{6}}$
Learn how to solve problems step by step online. Rationalize and simplify the expression 6/(6^1/2). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{6}. Multiplying fractions \frac{6}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}}. When multiplying two powers that have the same base (\sqrt{6}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.