Find all of the square roots of the perfect square $ \frac{4}{9} $.
A) $ \frac{2}{3} $
B) $\pm \frac { 8 } { 27 }$
C) $\frac { 1 } { 2 }$
D) $\pm \frac { 2 } { 3 }$
E) $\pm \frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

The square root of a perfect square, in this case, $ \frac{4}{9} $, includes both the positive and negative roots because squaring either will return the original value. The square root of $ \frac{4}{9} $ is $ \frac{2}{3} $, so both $ \frac{2}{3} $ and $ -\frac{2}{3} $ are correct, making option D the correct answer.

Find All of the Square Roots of the Perfect Square 49 \frac{4}{9} 94​

Find All of the Square Roots of the Perfect Square $\frac{4}{9}$