Question

Rút gọn biểu thức sau đây: \(\dfrac{a\sqrt{a}+b\sqrt{b}}{2\sqrt{a}+2\sqrt{b}}\)

Answer 1

\(\dfrac{a\sqrt{a}+b\sqrt{b}}{2\sqrt{a}+2\sqrt{b}}=\dfrac{a-\sqrt{ab}+b}{2}\)

Answer 2

\(=\dfrac{\left(\sqrt{a}+\sqrt{b}\right)\left(a+\sqrt{ab}+b\right)}{2\left(\sqrt{a}+\sqrt{b}\right)}=\dfrac{a+\sqrt{ab}+b}{2}\)