Question

Simplify the rational expression by rationalizing the denominator. √12/√8x

Answer 1

To simplify;

$\begin{gathered} \frac{\sqrt[]{12}}{\sqrt[]{8x}} \\ \text{Multiply both numerator and denominator by the denominator} \\ \text{You'll now have,} \\ \frac{\sqrt[]{12}}{\sqrt[]{8x}}\times\frac{\sqrt[]{8x}}{\sqrt[]{8x}} \\ =\frac{\sqrt[]{12\times8x}}{8x} \\ =\frac{\sqrt[]{96x}}{8x} \\ =\frac{\sqrt[]{16\times6x}}{8x} \\ =\frac{4\sqrt[]{6x}}{8x} \\ =\frac{\sqrt[]{6x}}{2x} \end{gathered}$