Find the Following Product and Express Answer in Simplest Radical $( 7 \sqrt { 7 } - 6 \sqrt { 5 } ) ( 6 \sqrt { 2 } + \sqrt { 11 } )$

Short Answer

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $( 7 \sqrt { 7 } - 6 \sqrt { 5 } ) ( 6 \sqrt { 2 } + \sqrt { 11 } )$