Question

Помогите решить номер

Answer 1

m-n/ m+n-2m^1/2 n^1/2+4m^1/2n^1/2= m-n/ m+n+2m^1/2n^1/2=

= m-n/ (m^1/2+n^1/2)²= (m^1/2 - n^1/2)(m^1/2+n^1/2) /(m^1/2+n^1/2)² = 

=m^1/2 - n^1/2 / m^1/2+n^1/2

Answer 2

$\frac{m - n}{ ( m^{ \frac{1}{2} } - n^{ \frac{1}{2} } )^{2} + 4(mn)^{ \frac{1}{2} } } = \\ \frac{m - n}{(m - 2(mn)^{ \frac{1}{2} } + n) + 4(mn)^{ \frac{1}{2} }} = \\ \frac{m - n}{m + 2(mn)^{ \frac{1}{2} } + n} = \\ \frac{m - n}{ (m + n)^{ \frac{1}{2} } } = \\ \frac{ (m - n)^{ \frac{1}{2} } * (m + n)^{ \frac{1}{2}}} { (m + n)^{ \frac{1}{2} } } = \\ (m - n)^{ \frac{1}{2} }$