[tex] \green{ \huge \bf{formula:}}[/tex]
[tex] \green{ \bf(a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} }[/tex]
[tex]2 \sqrt{24} = 2 \sqrt{ {2}^{2} \times 6 } = 4 \sqrt{6} [/tex]
[tex](6 \sqrt{2} + 2 \sqrt{24} ) {}^{2} = (6 \sqrt{2} + 4 \sqrt{6} ) {}^{2} = \\ = {6}^{2} \sqrt{2} {}^{2} + 2 \times 6 \sqrt{2} + 4 \sqrt{6} + {4}^{2} \sqrt{6} {}^{2} = \\ = 36 \times 2 + 2 \times 4 \times 6 \sqrt{2 \times 6} + 16 \times 6 = \\ = 72 + 48\sqrt{12} + 96 = \\ = 168 + 48 \sqrt{ {2}^{2} \times 3} = 168 + 48 \times 2 \sqrt{3} = \\ = 168 + 96 \sqrt{3} [/tex]
