Simplify: \(\sqrt{(a+b)^{-1}}\times\sqrt{(a-b)(a^2-b^2)}\)
Solve: \(\sqrt x+\;\sqrt{x+13}=\frac{91}{\sqrt{x+13}}\)
Rationalize the denominator of: \(\frac{\sqrt5+\sqrt4}{\sqrt5-\sqrt4}\)
Solve: \(\frac{6x-49}{7+\sqrt{6x}}=6-\frac{\sqrt{6x}{\displaystyle-}{\displaystyle11}}3\)
Rationalize the denominator: \(\frac1{\sqrt[3]a-\sqrt[3]b}\)
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