passpadi

2011

Mathematics

JAMB

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)/4
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