عبارات مركّبة

\[\displaystyle (\sqrt3-\sqrt2)^{2010}(\sqrt3+\sqrt2)^{2011}\]

\[\displaystyle \sqrt5^{-1}\left(\frac1{\sqrt5}+\sqrt5^{-3}\right)\]

\[\displaystyle \left[(-\sqrt5)^{-2}\right]^3\left[\frac{1}{2\sqrt5}^{-2}-(3\sqrt5)^2\right]\]

\[\displaystyle 9\left(\frac32\right)^{-2}-4\left(\frac23\right)^{-3}\times27^{-1}\]

\[\displaystyle (2\sqrt2-\sqrt7)^{153}(2\sqrt2+\sqrt7)^{154}\]