cancellation & simplification

**l flipboi l** · June 5th 2010, 03:27 PM

Hello,

Can someone please help me with the steps to simplify this problem?

$(12(x+4)^2) / (2 sqrt(4(x+4)^3)$

I'm a bit confuse at the process.

Thanks
-Mark

**TheEmptySet** · June 5th 2010, 03:47 PM

Originally Posted by l flipboi l

Hello,

Can someone please help me with the steps to simplify this problem?

$(12(x+4)^2) / (2 sqrt(4(x+4)^3)$

I'm a bit confuse at the process.

Thanks
-Mark

Hi is this the question?

$\frac{12(x+4)^2}{2\sqrt{4(x+4)^3}}$

if so remember that $\sqrt{xy}=\sqrt{x}\sqrt{y}$ and that

$\sqrt[a]{x^b}=x^{\frac{b}{a}}$

Using these two properties we can simplify the denominator to get

$2\sqrt{4(x+4)^3}=2\sqrt{4}\sqrt{(x+4)^3}=2\cdot 2 \cdot (x+4)^{\frac{3}{2}}$

Just keep on simplifying

**l flipboi l** · June 5th 2010, 03:59 PM

Ahh thats what I was missing, I forgot the properties.

Thanks!

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