passpadi

2010

Mathematics

JAMB

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)/2
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