MATHEMATICS

JAMB 2005 - Question 9

Mathematics 2005 JAMB Past Questions - Question 9: Simplify √12 -√3/√12 + √3

Simplify √12 -√3/√12 + √3
A:
B:
C:
D:
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Correct Answer

B

Explanation

To simplify the expression √12 - √3 / √12 + √3, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.The conjugate of √12 + √3 is √12 - √3.Multiplying the numerator and denominator by the conjugate:(√12 - √3) * (√12 - √3) / (√12 + √3) * (√12 - √3)Expanding the numerator and denominator:(12 - 2√36 + 3) / (12 - √36 + √36 - 3)Simplifying:(15 - 2√36) / 12Since √36 = 6:(15 - 2 * 6) / 12(15 - 12) / 123 / 12Simplifying the fraction:3 / 12 = 1 / 4Therefore, the simplified form of the expression √12 - √3 / √12 + √3 is 1/3.