Question

Write the expression in simplified radical form

Answer 1

multiply the top and bottom by the conjugate of the denominator

3+sqrt(7)

Answer 2

\[\frac{ 4 + 3\sqrt{7} }{ 3 - \sqrt{7} } * \frac{ 3 + \sqrt{7} }{ 3 + \sqrt{7} }\]

Answer 3

\[\frac{ (4+3\sqrt{7})(3 + \sqrt{7}) }{ (3 - \sqrt{7})(3 + \sqrt{7}) }\]

distribute those quantities and recall
\[\sqrt{7}\sqrt{7} = 7\]