simplify \( \frac{1}{\sqrt{3}-2} - \frac{1}{\sqrt{3}+2} \)

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

simplify \( \frac{1}{\sqrt{3}-2} - \frac{1}{\sqrt{3}+2} \)

Answer Details
1 √ 3 − 2  -  1 √ 3 + 2
L.C.M = (3- 2) (3 + 2)
∴  1 3 − 2  -  1 3 − 2  =  3 + 2 − 3 − 2 3 − 2 + 3 − 2

√ 3 + 2 − √ 3 + 2 3 − 2 √ 3 + 2 √ 3 − 4  =  4 3 − 2
=  4 − 1
= -4

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