2010
Mathematics
67ca00ce0c643c71d77dee1f
Rationalize (2√3 + √5)/(√5 - √3)
A.
(3 √ 15 +11) / 2
B.
3 √ 15 -11
C.
(3 √ 15 -11) / 2
D.
3 √ 15 +11
Correct Answer: (3 √ 15 +11) / 2
Explanation
(2√3 + √5)/(√5 - √3) = ((2√3+√5)/(√5-√3))((√5+√3)/(√5+√3)) = (2√15+6+5+√15)/(5-3) = (3√15+11)/2
(2√3 + √5)/(√5 - √3) = ((2√3+√5)/(√5-√3))((√5+√3)/(√5+√3)) = (2√15+6+5+√15)/(5-3) = (3√15+11)/2THIS WEEK's
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