Question

100 БАЛІВ!!!! 2 ЗАВДАННЯ НА СКОРОЧЕННЯ!!!!!

Answer 1

$\sqrt{27+2\sqrt{50} }(5-\sqrt{2} ) =(\sqrt{2}+\sqrt{25})(5-\sqrt{2})=25-2=23$

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

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

1)=7/2

2)4