SOLUTION: {{{ (4- sqrt(20))/ (2-(2) sqrt(5)) }}}

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Question 593757: +%284-+sqrt%2820%29%29%2F+%282-%282%29+sqrt%285%29%29+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
4- sqrt(20)/ (2-(2) sqrt(5)
(4-√20)/(2-2√5)
(4-2√5)/(2-2√5)
2(2-√5)/2(1-√5)
(2-√5)/(1-√5)
multiply top and bottom by conjugate of denominator, (1+√5)
(2-√5)(1+√5)/(1-√5)(1+√5) (difference of squares)
(2+√5-5)/(1-5)
(-3+√5)/-4
(3-√5)/4