Answer
$25\sqrt{6}$
Work Step by Step
RECALL:
$\sqrt{a} \cdot \sqrt{b} = \sqrt{a\cdot b}, a\gt 0, b \gt 0$
Use the rule above to have
$\sqrt{50(75)}
\\=\sqrt{3750}
\\=\sqrt{625(6)}
\\=\sqrt{25^3(6)}
\\=25\sqrt{6}.$
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