ข้อ 1 ถ้า $a>0$ จงหาค่าของ $(\frac{\sqrt[4]{a^3}-\sqrt[4]{a}}{1-\sqrt{a}}+\frac{1+\sqrt{a}}{\sqrt[4]{a}})^2(1+\frac{2}{\sqrt{a}}+\frac{1}{a})^\frac{-1}{2}$
$=(\frac{\sqrt[4]{a}(\sqrt[4]{a^3}-\sqrt[4]{a})+(1+\sqrt{a})(1-\sqrt{a})}{(1-\sqrt{a})(\sqrt[4]{a})})^2(\frac{a+2\sqrt{a}+1}{a})^\frac{-1}{2}$
$=(\frac{a-\sqrt{a}+1-a}{(1-\sqrt{a})(\sqrt[4]{a})})^2(\frac{(\sqrt{a}+1)^2}{a})^\frac{-1}{2}$
$=\frac{1}{\sqrt{a}}\frac{\sqrt{a}}{\sqrt{a}+1}$
$=\frac{1}{\sqrt{a}+1}$
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