Question

Answer 1

\(\dfrac{5}{9}\sqrt{\dfrac{8a^2}{25}}=\dfrac{5}{9}\dfrac{\sqrt{8a^2}}{\sqrt{25}}=\dfrac{5}{9}\dfrac{\left|a\right|.2\sqrt{2}}{5}=\dfrac{2\sqrt{2}.\left|a\right|}{9}\)

Answer 2

\(\dfrac{5}{9}\cdot\sqrt{\dfrac{8a^2}{25}}=\dfrac{5}{9}\cdot\dfrac{2\sqrt{2}a}{5}=\dfrac{2\sqrt{2}a}{9}\)