ЗАДАНИЕ №4 - сократить дробь, ОЧЕНЬ НАДО под А,Б

[latex]a) frac{ sqrt{5} +1}{ sqrt{10}+ sqrt{2} } = frac{ sqrt{5} +1}{ sqrt{5}* sqrt{2} + sqrt{2} } = frac{ sqrt{5} +1}{ sqrt{2} (sqrt{5}+ 1) } = frac{1}{ sqrt{2} } = frac{ sqrt{2} }{sqrt{2}*sqrt{2}} = frac{sqrt{2}}{2} \ \ b) frac{x^2-2}{ sqrt{2}x+2 } = frac{(x-sqrt{2})(x+sqrt{2})}{sqrt{2}(x+sqrt{2})} = frac{x-sqrt{2}}{sqrt{2}} = frac{sqrt{2}(x-sqrt{2})}{sqrt{2}*sqrt{2}} = frac{sqrt{2}x-2}{2} [/latex]