# simplifying

• September 27th 2009, 09:46 AM
samtheman17
simplifying

sqrt(x^3 + x^2) / x

do you just simplify the interior and then -sqrt( ) ??
• September 27th 2009, 10:00 AM
apcalculus
Quote:

Originally Posted by samtheman17

sqrt(x^3 + x^2) / x

do you just simplify the interior and then -sqrt( ) ??

Factor an x^2 from the numerator:

$\frac{\sqrt{x^2 ( x + 1)}}{x}$

Then write the square root as a product of the square roots of $x^2$ and $x+1$

Good luck!
• September 27th 2009, 10:08 AM
samtheman17
so you then just cancel out x on top and bottom and are left with -sqrt(x-1) ?
• September 27th 2009, 10:28 AM
apcalculus
Yes. It would be $-\sqrt{x+1}$.