Question

7 / 3 root 3 - 5 rationalize the denominator

Answer 1

$\frac{7}{3 \sqrt{3} - 5} \\ \\ \frac{7(3 \sqrt{3} + 5)}{ {(3 \sqrt{3} - 5)(3 \sqrt{3} + 5)} } \\ \\ \frac{21 \sqrt{3} + 35 }{ {(3 \sqrt{3} )}^{2} - {(5)}^{2} } \\ \\ \frac{21 \sqrt{3} + 35 }{27 - 25} = \frac{21 \sqrt{3} + 35 }{2}$