Simplifying expression

**lkateys** · June 11th 2012, 11:25 AM

I'm doing some extra math sheets and got stuck on this problem:
u^2√(24uy^2)-4√(96u^5)
Can someone please solve with steps so I know how to do it?
Please & thank you

**skeeter** · June 11th 2012, 01:10 PM

u^2√(24uy^2)-4√(96u^5) =

$u^2\sqrt{4y^2 \cdot 6u} - 4\sqrt{16u^4 \cdot 6u} =$

$u^2 \cdot 2y \sqrt{6u} - 4 \cdot 4u^2 \cdot \sqrt{6u} =$

$2u^2\sqrt{6u}(y - 8)$

**Plato** · June 11th 2012, 02:03 PM

Originally Posted by skeeter

$2u^2\sqrt{6u}(y - 8)$

Don't you need $|y|~?$

**skeeter** · June 11th 2012, 02:13 PM

Originally Posted by Plato

Don't you need $|y|~?$

yes, you do ... but I didn't want to confuse things at this point.

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