\(\left(\sqrt{15}-2\sqrt{3}\right)^2+12\sqrt{5}=\left(\sqrt{15}\right)^2-2.\sqrt{15}.2\sqrt{3}+\left(2\sqrt{3}\right)^2+12\sqrt{5}=15-4\sqrt{15.3}+4.9+12\sqrt{5}=15-4.3\sqrt{5}+36+12\sqrt{5}=14-12\sqrt{5}+36+12\sqrt{5}=14+36=50\)
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