# How do you simplify (4 sqrt (x ^12))/( 24 sqrt (x ^12))?

Apr 29, 2015

In this way:

$\frac{4 \cancel{\sqrt{{x}^{12}}}}{24 \cancel{\sqrt{{x}^{12}}}} = \frac{1}{6}$.

Apr 29, 2015

$\frac{4 \sqrt{{x}^{12}}}{24 \sqrt{{x}^{12}}}$

$= \left(\frac{4}{24}\right) \cdot \left(\frac{\cancel{\sqrt{{x}^{12}}}}{\cancel{\sqrt{{x}^{12}}}}\right)$

$= \frac{4}{24}$

 = color(green)(1/6 is the Simplified version of $\frac{4 \sqrt{{x}^{12}}}{24 \sqrt{{x}^{12}}}$