Hello,
Can someone please help me with the steps to simplify this problem?
$\displaystyle (12(x+4)^2) / (2 sqrt(4(x+4)^3)$
I'm a bit confuse at the process.
Thanks
-Mark
Hi is this the question?
$\displaystyle \frac{12(x+4)^2}{2\sqrt{4(x+4)^3}}$
if so remember that $\displaystyle \sqrt{xy}=\sqrt{x}\sqrt{y}$ and that
$\displaystyle \sqrt[a]{x^b}=x^{\frac{b}{a}}$
Using these two properties we can simplify the denominator to get
$\displaystyle 2\sqrt{4(x+4)^3}=2\sqrt{4}\sqrt{(x+4)^3}=2\cdot 2 \cdot (x+4)^{\frac{3}{2}}$
Just keep on simplifying