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

Question 593757:
Answer by lwsshak3(11628) (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
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