Rationalize the denominator and simplify. Assume all variables represent nonnegative real numbers.
-$\sqrt { \frac { 4 } { 5 } }$
A) $\frac { 2 \sqrt { 5 } } { 5 }$
B) $2 \sqrt { 5 }$
C) 27
D) $\frac { 4 \sqrt { 5 } } { 5 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, we multiply both the numerator and denominator by the square root of the denominator. 
$$\sqrt{\frac{4}{5}} = \frac{2\sqrt{5}}{\sqrt{5}\cdot\sqrt{5}} = \frac{2\sqrt{5}}{5}$$ 
Choice A is the simplified and rationalized form.

Rationalize the Denominator and Simplify 45\sqrt { \frac { 4 } { 5 } }54​​

Rationalize the Denominator and Simplify $\sqrt { \frac { 4 } { 5 } }$