Question

rationlize the denominators 7+3√5/ 7-3√5

Answer 1

$\frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} } = \frac{(7 + 3 \sqrt{5})(7 + 3 \sqrt{5}) }{(7 -3 \sqrt{5})(7 + 3 \sqrt{5} ) } \\ = \frac{49 + 45 + 42 \sqrt{5} }{49 - 45} \\ = \frac{94 + 42 \sqrt{5} }{4} \\ = \frac{47 + 21 \sqrt{5} }{2}$