Question

simplify 7+3 square root 5 /7-3 square root 5 by rationing the denominator​

Answer 1

$so \: the \: answer \: is \: \frac{47 + 21 \sqrt{5} }{2}$

Step-by-step explanation:

$\frac{7 + 3 \sqrt{5} }{7 - 3 \sqrt{5} }$

$\frac{(7 + 3 \sqrt{5} )(7 + 3 \sqrt{5} )}{(7 - 3 \sqrt{5} )(7 + 3 \sqrt{5} )}$

$\frac{(7 + 3 \sqrt{5} )^{2} }{ {(7)}^{2} - {(3 \sqrt{5} )}^{2} }$

$\frac{(7)^{2} + ( {3 \sqrt{5} })^{2} + 2 \times 7 \times 3 \sqrt{5} }{49 - 45}$

$\frac{49 + 45 + 42 \sqrt{5} }{4}$

$\frac{94 + 42 \sqrt{5} }{4}$

$\frac{2(47 + 21 \sqrt{5} )}{4}$

$\frac{47 + 21 \sqrt{5} }{2}$