Question

Помогите. (√18-√96)²+(7√3)²

Answer 1

$(\sqrt{18} - \sqrt{96})^{2} + (7\sqrt{3} )^{2} = (\sqrt{2*9} - \sqrt{16*6})^{2} + (7\sqrt{3} )^{2} = \\ =(3\sqrt{2} - 4\sqrt{6})^{2} + (7\sqrt{3} )^{2} = (3\sqrt{2} )^{2} - 2*3\sqrt{2} *4\sqrt{6} + \\ +(4\sqrt{6})^{2}+49*3 = 9*2 - 24 \sqrt{12}+16*6 + 147= \\ = 18 + 96+147 - 24 \sqrt{4*3} = 261 - 48\sqrt{3}$