g: \(\left(2-\sqrt{5}\right)\sqrt{9+4\sqrt{5}}\)
\(=\left(2-\sqrt{5}\right)\cdot\sqrt{\left(\sqrt{5}+2\right)^2}\)
\(=\left(2-\sqrt{5}\right)\left(2+\sqrt{5}\right)=4-5=-1\)
h: \(\left(\sqrt{3}+\sqrt{5}\right)\cdot\sqrt{7-2\sqrt{10}}\)
\(=\left(\sqrt{5}+\sqrt{3}\right)\cdot\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}\)
\(=\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{2}\right)\)
\(=5-\sqrt{10}+\sqrt{15}-\sqrt{6}\)
i: \(\left(3-\sqrt{2}\right)\cdot\sqrt{7+4\sqrt{3}}\)
\(=\left(3-\sqrt{2}\right)\cdot\sqrt{\left(2+\sqrt{3}\right)^2}\)
\(=\left(3-\sqrt{2}\right)\left(2+\sqrt{3}\right)\)
\(=6+3\sqrt{3}-2\sqrt{2}-\sqrt{6}\)
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