Question

\(\dfrac{4xy^2}{3}\sqrt{\dfrac{9}{xy}}\)

Answer 1

\(\dfrac{4xy^2}{3}\sqrt{\dfrac{9}{xy}}\)

\(=\sqrt{\dfrac{16x^2y^4}{3}\cdot\dfrac{9}{xy}}\)

\(=\sqrt{16xy^3\cdot3}\)

\(=\sqrt{4^2\cdot x\cdot y^2\cdot y\cdot3}\)

\(=4y\sqrt{3xy}\)

Answer 2

\(=\dfrac{4xy^2}{3}\cdot\dfrac{3}{\sqrt{xy}}=\dfrac{4xy^2}{\sqrt{xy}}=4\sqrt{xy^3}\)