Question on: JAMB Mathematics - 1993
simplify (\frac{1}{√3 - 2}) - (\frac{1}{√3 + 2})
A
3
B
\(\frac{2}{3}\)
C
7
D
-4
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Correct Option: D
(\frac{1}{√3 - 2}) - (\frac{1}{√3 + 2})
L.C.M = (3- 2) (3 + 2)
∴ (\frac{1}{\sqrt{3 - 2}}) - (\frac{1}{\sqrt{3 - 2}}) = (\frac{\sqrt{3 + 2} - \sqrt{3 - 2}}{\sqrt{3 - 2} + \sqrt{3 - 2}})
(\frac{√3 + 2 - √3 + 2}{3 - 2√3 + 2√3 - 4}) = (\frac{4}{3 - 2})
= (\frac{4}{-1})
= -4
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