Question

Rút gọn:

(x-y) .\(\sqrt{\dfrac{xy}{\left(x-y\right)^2}}\)

Answer 1

\(\left(x-y\right)\sqrt{\dfrac{xy}{\left(x-y\right)^2}}\)

\(=\dfrac{\left(x-y\right)\sqrt{xy}}{x-y}\)

\(=\sqrt{xy}\)

Answer 2

\(\left(x-y\right)\sqrt{\dfrac{xy}{\left(x-y\right)^2}}\)

= \(\left(x-y\right)\dfrac{1}{\left(\sqrt{x-y}\right)^2}\times\sqrt{xy}\)

=\(\left(x-y\right)\dfrac{1}{x-y}\times\sqrt{xy}\)

=\(\sqrt{xy}\)