If \(\frac{7+2\sqrt{5}}{11+3\sqrt{5}}\) = a + b\(\sqrt{5}\), then:
a = 1; b = \(\sqrt{5}\)
a = \(\sqrt{5}\); b = 1
a = \( \frac{1}{16} \); b = \( \frac{47}{76} \)
a = \( \frac{47}{76} \); b = \( \frac{1}{76} \)
D. a = \( \frac{47}{76} \); b = \( \frac{1}{76} \)