ПОМОГИТЕ СРОЧНО! а) [latex] \frac{\sqrt{5}-5}{\sqrt{2}-\sqrt{10}} [/latex] б) [latex] \frac{t-19\sqrt{t}}{2\sqrt{t}-38} [/latex]

[latex] \frac{ \sqrt{5} -5}{ \sqrt{2}- \sqrt{10} } = \frac{ \sqrt{5} -(\sqrt{5})^2}{ \sqrt{2}- \sqrt{2} \sqrt{5} } = \frac{ \sqrt{5}(1 -\sqrt{5})}{ \sqrt{2}(1- \sqrt{5}) } =\frac{ \sqrt{5}}{ \sqrt{2} } = \sqrt{5/2}= \sqrt{2.5} \\ \\ \frac{t-19 \sqrt{t} }{2 \sqrt{t}-38 } =\frac{( \sqrt{t})^2 -19 \sqrt{t} }{2 \sqrt{t}-2*19 } =\frac{ \sqrt{t}( \sqrt{t}-19) }{2( \sqrt{t}-19) } =\sqrt{t}/2=0.5\sqrt{t} [/latex]