# How do you divide sqrt6*sqrt24?

Jul 3, 2015

In this way:

$\sqrt{6} \cdot \sqrt{24} = \sqrt{6} \cdot \sqrt{6 \cdot 4} = \sqrt{6} \cdot \sqrt{6} \cdot \sqrt{4} = 6 \cdot 2 = 12$.

Jul 3, 2015

$= \sqrt{6} \cdot \sqrt{6 \cdot 4} =$ take out $4$ from the square root as $2$:
$\sqrt{6} \cdot 2 \cdot \sqrt{6} = 2 \cdot 6 = 12$
(where $\sqrt{6} \cdot \sqrt{6} = 6$)