$$( 3 \sqrt { 2 } + 7 \sqrt { 3 } ) ( \sqrt { 2 } - 5 \sqrt { 3 } )$$
$-8\sqrt{6}-99\approx -118.595917942$
$$3\left(\sqrt{2}\right)^{2}-15\sqrt{3}\sqrt{2}+7\sqrt{3}\sqrt{2}-35\left(\sqrt{3}\right)^{2}$$
$$3\times 2-15\sqrt{3}\sqrt{2}+7\sqrt{3}\sqrt{2}-35\left(\sqrt{3}\right)^{2}$$
$$6-15\sqrt{3}\sqrt{2}+7\sqrt{3}\sqrt{2}-35\left(\sqrt{3}\right)^{2}$$
$$6-15\sqrt{6}+7\sqrt{3}\sqrt{2}-35\left(\sqrt{3}\right)^{2}$$
$$6-15\sqrt{6}+7\sqrt{6}-35\left(\sqrt{3}\right)^{2}$$
$$6-8\sqrt{6}-35\left(\sqrt{3}\right)^{2}$$
$$6-8\sqrt{6}-35\times 3$$
$$6-8\sqrt{6}-105$$
$$-99-8\sqrt{6}$$
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$-8\sqrt{6}-99$
