Answer
$4\sqrt {3} - 7\sqrt {7}$
Work Step by Step
Rewrite each radicand as the product of a perfect square and another factor:
$8\sqrt {4 • 3} + 9\sqrt {7} - 4\sqrt {16 • 7} - 2\sqrt {36 • 3}$
Take the square root of the perfect squares:
$8 • 2\sqrt {3} + 9\sqrt {7} - 4 • 4\sqrt {7} - 2 • 6\sqrt {3}$
Simplify the radicals by multiplying the coefficients of each radical:
$16\sqrt {3} + 9\sqrt {7} - 16\sqrt {7} - 12\sqrt {3}$
Combine like terms:
$4\sqrt {3} - 7\sqrt {7}$
