6. Решите уравнение: a) y²= (√7-√3) (V7+√3); б) (√5y)² = 10.

1. a) $$y^2 = (\sqrt{7} - \sqrt{3})(\sqrt{7} + \sqrt{3})$$
   $$y^2 = (\sqrt{7})^2 - (\sqrt{3})^2$$
   $$y^2 = 7 - 3$$
   $$y^2 = 4$$
   $$y = \pm \sqrt{4}$$
   $$y = \pm 2$$
2. б) $$(\sqrt{5}y)^2 = 10$$
   $$5y^2 = 10$$
   $$y^2 = \frac{10}{5}$$
   $$y^2 = 2$$
   $$y = \pm \sqrt{2}$$

Ответ: a) y = ±2; б) y = ±√2.