passpadi

2006

Mathematics

JAMB

Evaluate 2/(6-5√3)

A.

-(12/39-(10√3)/39)

B.

12/39-(10√3)/39

C.

-(12/39+(10√3)/39)

D.

12/39+(10√3)/39

Correct Answer: -(12/39+(10√3)/39)

Explanation

SOLUTION : 2 6 5 3 = 2 6 5 3 × 6 + 5 3 6 + 5 3 = 2 ( 6 + 5 3 ) ( 6 5 3 ) ( 6 + 5 3 ) = 12 + 10 3 36 25 ( 3 ) = 12 + 10 3 36 75 = 12 + 10 3 39 = ( 12 39 10 3 39 )

SOLUTION : 2 6 5 3 = 2 6 5 3 × 6 + 5 3 6 + 5 3 = 2 ( 6 + 5 3 ) ( 6 5 3 ) ( 6 + 5 3 ) = 12 + 10 3 36 25 ( 3 ) = 12 + 10 3 36 75 = 12 + 10 3 39 = ( 12 39 10 3 39 )
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