Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
-$\frac { \sqrt { 5 } } { \sqrt { 3 x } }$
A) $\frac { 5 } { \sqrt { 5 x } }$
B) $\frac { 5 } { \sqrt { 15 x } }$
C) $\frac { \sqrt { 15 x } } { 3 x }$
D) $\frac { 5 } { \sqrt { 3 x } }$

Question

Quizplus · Accepted Answer

To rationalize the numerator, multiply both the numerator and denominator by $\sqrt{5}$ to get $\frac{\sqrt{5} \cdot \sqrt{5}}{\sqrt{3x} \cdot \sqrt{5}} = \frac{5}{\sqrt{15x}}$, which simplifies to choice B.

Rationalize the Numerator and Simplify 53x\frac { \sqrt { 5 } } { \sqrt { 3 x } }3x​5​​

Rationalize the Numerator and Simplify $\frac { \sqrt { 5 } } { \sqrt { 3 x } }$