$$(3\sqrt{5}-4\sqrt{3})^{2}$$
$93-24\sqrt{15}\approx 0.048399691$
$$9\left(\sqrt{5}\right)^{2}-24\sqrt{5}\sqrt{3}+16\left(\sqrt{3}\right)^{2}$$
$$9\times 5-24\sqrt{5}\sqrt{3}+16\left(\sqrt{3}\right)^{2}$$
$$45-24\sqrt{5}\sqrt{3}+16\left(\sqrt{3}\right)^{2}$$
$$45-24\sqrt{15}+16\left(\sqrt{3}\right)^{2}$$
$$45-24\sqrt{15}+16\times 3$$
$$45-24\sqrt{15}+48$$
$$93-24\sqrt{15}$$
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$93-24\sqrt{15}$
