Answer
$26+ 6 \sqrt 3$
Work Step by Step
Simplify. $(5\sqrt 6-2\sqrt 2) (\sqrt 6+\sqrt 2) $
Therefore, $(5\sqrt 6-2\sqrt 2) (\sqrt 6+\sqrt 2)=5 \cdot 6+5 \sqrt{6 .2}-2\sqrt {2.6}-4$
or, $=30+3 \sqrt{12}-4$
or, $=26+3 \sqrt{12}$
or, $=26+3 \sqrt{ 3 \cdot 4}$
Thus, the given radical term can be written as:
$26+ 6 \sqrt 3$
