Question

$\sqrt{\frac{a}{b}}+\sqrt{\frac{b}{a}}=1$ old.göre $\frac{a+b+3.\sqrt{ab}}{\sqrt{a}.\sqrt{b}}$ işlemi sonucu nedir ?

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Answer 1

$\dfrac{a+b+3.\sqrt{ab}}{\sqrt{a}\sqrt{b}}=\dfrac{a}{\sqrt{a}\sqrt{b}}+\dfrac{b}{\sqrt{a}\sqrt{b}}+3=\underbrace{\sqrt{\dfrac a b}+\sqrt{\dfrac b a}}_1+3=4$