Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Skills Handbook - Squaring Numbers and Finding Square Roots - Exercises: 11

Answer

$\frac{2}{3}$

Work Step by Step

To find out the square root of a number, we must find the number whose square is the original number. To find the square root of a fraction, we find the square root of the numerator and the denominator. Therefore, $\sqrt {\frac{4}{9}}=\frac{\sqrt 4}{\sqrt 9}=\frac{2}{3}$, because $(\frac{2}{3})^2=\frac{4}{9}$.
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