Question

Answer 1

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

Answer 2

Với \(a,b>0\) và \(a\ne b\) ta có:

\(VT=\dfrac{\sqrt{ab}\left(\sqrt{a}+\sqrt{b}\right)}{\sqrt{ab}}\cdot\left(\sqrt{a}-\sqrt{b}\right)\)

      \(=\left(\sqrt{a}+\sqrt{b}\right)\cdot\left(\sqrt{a}-\sqrt{b}\right)=a-b=VP\)

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