# How do you simplify 7sqrt(600)?

Jul 21, 2015

$7 \sqrt{600} = 70 \sqrt{6}$
Writing $600$ with the obvious square factor $= 6 \times {10}^{2}$
$\sqrt{600} = \sqrt{6 \times {10}^{2}} = \sqrt{6} \times \sqrt{{10}^{2}} = 10 \sqrt{6}$
$7 \sqrt{600} = 7 \times 10 \sqrt{6} = 70 \sqrt{6}$