2011
Mathematics
67ca00ce0c643c71d77dee1f
Rationalize 2−√5/3−√5
A.
1−√5/2
B.
1−√5/4
C.
√5−1/2
D.
1+√5/4
Correct Answer: 1−√5/4
Explanation
2−√5/3−√5 x 3+√5/3+√5 ((2-√5)(3+√5))/((3-√5)(3+√5)) = (6+2√5-3√5-√2 5)/(9+3√5-3√5-√2 5) = (6-√5-5)/(9-5) = (1-√5)/4
2−√5/3−√5 x 3+√5/3+√5 ((2-√5)(3+√5))/((3-√5)(3+√5)) = (6+2√5-3√5-√2 5)/(9+3√5-3√5-√2 5) = (6-√5-5)/(9-5) = (1-√5)/4THIS WEEK's
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