$$(5 \sqrt{ 9 } -4 \sqrt{ 6 } )(5 \sqrt{ 25 } -6 \sqrt{ 36 }$$
$44\sqrt{6}-165\approx -57.222451318$
$$\left(5\times 3-4\sqrt{6}\right)\left(5\sqrt{25}-6\sqrt{36}\right)$$
$$\left(15-4\sqrt{6}\right)\left(5\sqrt{25}-6\sqrt{36}\right)$$
$$\left(15-4\sqrt{6}\right)\left(5\times 5-6\sqrt{36}\right)$$
$$\left(15-4\sqrt{6}\right)\left(25-6\sqrt{36}\right)$$
$$\left(15-4\sqrt{6}\right)\left(25-6\times 6\right)$$
$$\left(15-4\sqrt{6}\right)\left(25-36\right)$$
$$\left(15-4\sqrt{6}\right)\left(-11\right)$$
$$-165+44\sqrt{6}$$
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