a: \(\sqrt{6}\cdot\sqrt{96}=4\sqrt{6}\cdot\sqrt{6}=24\)
b: \(\sqrt{0.4}\cdot\sqrt{6.4}=\sqrt{6.4\cdot0.4}=\sqrt{2.56}=1.6\)
c: \(=\sqrt{90\cdot\dfrac{2}{5}}=\sqrt{36}=6\)
d: \(=\sqrt{0.03\cdot5\cdot15}=\sqrt{0.15\cdot15}=\sqrt{2.25}=1.5\)
e: \(\sqrt{52}\cdot\sqrt{13}=2\sqrt{13}\cdot\sqrt{13}=52\)