Question

rationaloze the denominator of 5/3+√7​

Answer 1

Step-by-step explanation:

$\frac{5}{3 + \sqrt{7} } \\ = \frac{5(3 - \sqrt{7} )}{(3 + \sqrt{7})(3 - \sqrt{7}) } \\ = \frac{5(3 - \sqrt{7} )}{ {(3)}^{2} - {( \sqrt{7}) }^{2} } \\ = \frac{5(3 - \sqrt{7} )}{9 - 7} \\ = \frac{5(3 - \sqrt{7} )}{2}$