# Rationalize the Numerator

Rationalize the numerator of the following expression.

Rationalizing the numerator is similar to rationalizing the denominator. In each case the expression is rewritten so that radicals are removed (from either the numerator or denominator).

sq. rt of 3x^5/6

### Comments for Rationalize the Numerator

 Apr 01, 2012 Rationalize the Numerator by: Staff Question: sq. rt of 3x^5/6 Answer: √(3x⁵)/6 = √(3*x⁽²⁺²⁺¹⁾)/6 = √(3*x²*x²*x)/6 = x²*√(3x)/6 = [x²*√(3x)/6]*[√(3x)/√(3x)] = [x²*√(3x)* √(3x)]/[6*√(3x)] = [x²*√(3x*3x)]/[6*√(3x)] = [x²*√(3²*x²)]/[6*√(3x)] = [x²*3*x]/[6*√(3x)] = [3*x⁽²⁺¹⁾]/[6*√(3x)] = [3*x³]/[2*3*√(3x)] = [3/3] * [x³]/[2*√(3x)] = [1] * [x³]/[2*√(3x)] = x³/[2√(3x)] >>> the final answer is: x³/[2√(3x)] Thanks for writing. Staff www.solving-math-problems.com

 May 12, 2013 Rationalizing Numerator by: Anonymous It wasn't very helpful. What about more complex radical expressions to rationalize the numerator?

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