Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
-$\frac { 3 } { \sqrt { 125 x } }$
A) $\frac { \sqrt { 15 x } } { 25 x }$
B) $\frac { 3 \sqrt { x } } { 5 x }$
C) $\frac { 3 \sqrt { 5 x } } { 25 x }$
D) $\frac { 3 \sqrt { 125 x } } { 125 x }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and denominator by $\sqrt{125x}$ to get $\frac{3\sqrt{125x}}{125x}$. Simplifying $\sqrt{125x}$ gives $\sqrt{5^3x} = 5\sqrt{5x}$. Thus, the expression becomes $\frac{3\sqrt{5x}}{25x}$.

Rationalize the Denominator and Simplify 3125x\frac { 3 } { \sqrt { 125 x } }125x​3​

Rationalize the Denominator and Simplify $\frac { 3 } { \sqrt { 125 x } }$