Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
-$$\frac { 3 } { 5 - \sqrt { 3 } }$$
A) $\frac { 15 - 3 \sqrt { 3 } } { 22 }$
B) $\frac { 15 + 3 \sqrt { 3 } } { 22 }$
C) $\frac { 15 + 3 \sqrt { 3 } } { 2 }$
D) $\frac { 3 } { 5 } - \frac { 3 } { \sqrt { 3 } }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and the denominator by the conjugate of the denominator: $(5 + \sqrt{3})$. This results in $\frac{3(5 + \sqrt{3})}{(5 - \sqrt{3})(5 + \sqrt{3})} = \frac{15 + 3\sqrt{3}}{25 - 3} = \frac{15 + 3\sqrt{3}}{22}$.

Rationalize the Denominator 35−3\frac { 3 } { 5 - \sqrt { 3 } }5−3​3​

Rationalize the Denominator $\frac { 3 } { 5 - \sqrt { 3 } }$