解:$(1)\sqrt {8} ×\sqrt {32} $
$= \sqrt {8 ×32} $
$= \sqrt {256} $
$= 16$
$(2)2\sqrt {a} ×(-3\sqrt {3a}) $
$= 2 ×(-3) ×\sqrt {a ×3a} $
$= -6 ×\sqrt {3a^2} $
$= -6a\sqrt {3}(a \geq 0)$
$ (3)\sqrt {18} ×\sqrt {20} ×\sqrt {10} $
$= \sqrt {18 ×20 ×10} $
$= \sqrt {3600} $
$= 60$
$(4)\sqrt {(-9) ×(-\frac {1}{4}) ×25} $
$= \sqrt {9 ×\frac {1}{4} ×25} $
$= \sqrt {\frac {225}{4}} $
$= \frac {15}{2}$