Final answer to the problem
$\frac{\sqrt{21}x}{3}$
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Step-by-step Solution
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression (x*7^(1/2))/(3^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{3}. Multiplying fractions \frac{\sqrt{7}x}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}. When multiplying two powers that have the same base (\sqrt{3}), you can add the exponents. Apply the property of power of a product in reverse: a^n\cdot b^n=(a\cdot b)^n.
Final answer to the problem
$\frac{\sqrt{21}x}{3}$
