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Given that a>0 a>0 a>0, b>0b>0b>0, and ab=4 \sqrt{ab}=4 ab=4, evaluate
1bba−3aab. \frac1b \sqrt{\frac{b}{a}} - \frac3a \sqrt{\frac{a}{b}}. b1ab−a3ba.
Simplify 77+6+7+42.\frac{\sqrt{7}}{\sqrt{7}+\sqrt{6}}+7+\sqrt{42}.7+67+7+42.
Simplify
123−1−2343+23+1. \frac{1}{\sqrt[3]{2}-1} - \frac{\sqrt[3]{2}}{\sqrt[3]{4} + \sqrt[3]{2} + 1}. 32−11−34+32+132.
Evaluate the above expression.
Simplify 12+1712−17=ac+bc17\frac{12+\sqrt{17}}{12-\sqrt{17}} = \frac{a}{c} + \frac{b}{c}\sqrt{17}12−1712+17=ca+cb17.
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