Find the Following Product and Express Your Answer in Simplest $\sqrt { 5 } ( \sqrt { 3 } + \sqrt { 7 } )$

Multiple Choice

Find the following product and express your answer in simplest radical form. All variables represent nonnegative real numbers. $\sqrt { 5 } ( \sqrt { 3 } + \sqrt { 7 } )$

A) $\sqrt { 5 } - \sqrt { 3 }$
B) $\sqrt { 3 } - 7$
C) $\sqrt { 5 } + \sqrt { 7 }$
D) $\sqrt { 15 } + \sqrt { 35 }$
E) $\sqrt { 15 } - \sqrt { 35 }$