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Simplify frac sqrt 5 sqrt 147 - sqrt 12 sqrt 15 - JAMB Mathematics 2013 Question

Simplify (\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}})

A
5
B
\(\frac{1}{5}\)
C
\(\frac{1}{9}\)
D
9
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Correct Option: A

(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}})

(\frac{\sqrt{5}(\sqrt{49 \times 3} - \sqrt{4 \times 3}}{\sqrt{5 \times 3}})

(\frac{\sqrt{5}(7\sqrt{3} - 2\sqrt{3}}{\sqrt{5} \times \sqrt{3}})

(\frac{\sqrt{3} (7 - 2}{\sqrt{3}})

= 5

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