Simplify frac 5 sqrt 7 3 sqrt 7 - JAMB Mathematics 2009 Question
Simplify \(\frac{5 + \sqrt{7}}{3 + \sqrt{7}}\)
A
17 - \(\sqrt{7}\)
B
4 - \(\sqrt{7}\)
C
15 - \(\sqrt{7}\)
D
7 - \(\sqrt{7}\)
correct option: b
\(\frac{5 + \sqrt{7}}{3 + \sqrt{7}}\) x \(\frac{3 + \sqrt{7}}{3 + \sqrt{7}}\)
\(\frac{15 - 5 \sqrt{7} + 3\sqrt{7} - 7}{9 - 3\sqrt{7} + 3\sqrt{7} - 7
= 4 - 2\(\sqrt{7}\)
\(\frac{15 - 5 \sqrt{7} + 3\sqrt{7} - 7}{9 - 3\sqrt{7} + 3\sqrt{7} - 7
= 4 - 2\(\sqrt{7}\)
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