Lista de exercícios do ensino médio para impressão
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The expression $\phantom{X}[\dfrac{\sqrt{a\;+\;b}\;-\;\sqrt{a}}{b}]^{-1}\phantom{X}$ , where $\;a\;$ and $\;b\;$ are positive numbers, is equivalent to:
a)
$\;\dfrac{1}{b}$
b)
$\;b$
c)
$\;\dfrac{b \; + \; \sqrt{a}}{\sqrt{a\;+\;b}}$
d)
$\;\sqrt{b}$
e)
$\;\sqrt{a \; + \; b}\; + \; \sqrt{a}$
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answer: (E)
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