Final answer to the problem
$\frac{5\sqrt{2}x}{2}$
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Step-by-step Solution
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression (5x)/(2^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{2}. Multiplying fractions \frac{5x}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}. When multiplying two powers that have the same base (\sqrt{2}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.
Final answer to the problem
$\frac{5\sqrt{2}x}{2}$
