Section 1.3 : Radicals
16. Rationalize the denominator. Assume that \(x\) is positive.
\[\frac{6}{{\sqrt x }}\] Show SolutionFor this problem we need to multiply the numerator and denominator by \(\sqrt x \) in order to rationalize the denominator.
\[\frac{6}{{\sqrt x }} = \frac{6}{{\sqrt x }}\frac{{\sqrt x }}{{\sqrt x }} = \frac{{6\sqrt x }}{{\sqrt {{x^2}} }} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{6\sqrt x }}{x}}}\]