Question

ДАЮ 100 БАЛЛОВ!!!!!
1.26 сократите дробь:​

Answer 1

Ответ:

$1)\ \sqrt a + \sqrt 3}$

$2)\ \sqrt {2x}-\sqrt 5$

$3)\ \sqrt a + \sqrt b}$

Объяснение:

$1)\\\\\frac{a-3}{\sqrt a - \sqrt 3}=\frac{(\sqrt {a})^2-(\sqrt 3)^3}{\sqrt a - \sqrt 3}=\frac{(\sqrt a - \sqrt 3)(\sqrt a +\sqrt 3)}{\sqrt a - \sqrt 3}=\sqrt a + \sqrt 3}$

$2)\\\\\frac{2x-5}{\sqrt {2x}+\sqrt 5}=\frac{(\sqrt{2a})^2-(\sqrt 5)^2}{\sqrt {2x}+\sqrt 5}=\frac{(\sqrt {2x}+\sqrt 5)(\sqrt {2x}-\sqrt 5)}{\sqrt {2x}+\sqrt 5}=\sqrt {2x}-\sqrt 5$

$3)\\\\\frac{a-b}{\sqrt a - \sqrt b}=\frac{(\sqrt a)^2-(\sqrt b)^2}{\sqrt a - \sqrt b}=\frac{(\sqrt a - \sqrt b)(\sqrt a +\sqrt b)}{\sqrt a - \sqrt b}=\sqrt a + \sqrt b}$