Question

Срочно нужно помощь никто не отвечает!!!

Answer 1

$7\sqrt{3} - \sqrt{48} + \sqrt{27} = 7\sqrt{3} - 4\sqrt{3} + 3\sqrt{3} = \boxed{6\sqrt{3}}$

$\sqrt{2}\ (\sqrt{8} + 4\sqrt{2}) = \sqrt{8} \cdot \sqrt{2} + 4\sqrt{2}\cdot \sqrt{2} = \sqrt{8\cdot 2} + 4\sqrt{2\cdot 2} = \sqrt{16} + 4\sqrt{4} =\\\\= 4 + 4\cdot 2 = 4 + 8 = \boxed{12}$

$(\sqrt{3} + 5)^2 = (\sqrt{3})^2 + 2\cdot \sqrt{3} \cdot 5 + 5^2 = 3 + 10\sqrt{3} + 25 = \boxed{28+10\sqrt{3}}$

$(\sqrt{5} + \sqrt{3})(\sqrt{5}-\sqrt{3}) = (\sqrt{5})^2 - (\sqrt{3})^2 = 5 - 3 = \boxed{2}$