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Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

Mathematics
JAMB 2005

Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

  • A. zero
  • B. \(\frac{1}{3}\)
  • C. \(\frac{3}{5}\)
  • D. 1
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Correct Answer: Option B
Explanation

\(\frac{(\sqrt{12}-\sqrt{3})}{(\sqrt{12}+\sqrt{3})}\)

= \(\frac{\sqrt{4\times 3} - \sqrt{3}}{\sqrt{4\times 3}+\sqrt{3}}\)

= \(\frac{2\sqrt{3}-\sqrt{3}}{2\sqrt{3}+\sqrt{3}}\)

= \(\frac{\sqrt{3}}{3\sqrt{3}}\)

= \(\frac{1}{3}\)

There is an explanation video available below.


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Explanation Video

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