Question

sqrt(14-6(sqrt(5)))-1/(2-(sqrt(5)) с решением

Answer 1

√(14-6√5) - 1/(2-√5) = √(5+9-6√5) - 1 / (2-√5) = √(3-√5)^2 - 1 / (2-√5) =

= ((3 - √5)(2-√5) -1) / (2-√5) = (6 - 3√5 - 2√5 + 5 - 1) / (2-√5) = (10 - 5√5) / (2-√5) = 5(2-√5)/(2-√5) = 5