# Simplifying Radicals

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• Apr 18th 2008, 07:11 PM
eraser851
Simplifying Radicals
Could somebody help explain how to do this problem?
Like a step-by-step process to the answer so I can do them myself next time?

http://img.photobucket.com/albums/v2...ngradicals.jpg

Many thanks!
• Apr 18th 2008, 07:21 PM
Mathstud28
Quote:

Originally Posted by eraser851
Could somebody help explain how to do this problem?
Like a step-by-step process to the answer so I can do them myself next time?

http://img.photobucket.com/albums/v2...ngradicals.jpg

Many thanks!

rewrite it as $y\sqrt{25\cdot{3}\cdot{w^4}\cdot{w}}-w^2\sqrt{3wy^2}$...from here you can see this is the same as $5yw^2\sqrt{3w}-w^2y\sqrt{3w}$..and go from there to get $\sqrt{3w}(5yw^2-yw^2)=\sqrt{3w}(4yw^2)$
• Apr 18th 2008, 07:27 PM
eraser851
Quote:

Originally Posted by Mathstud28
rewrite it as $y\sqrt{25\cdot{3}\cdot{w^4}\cdot{w}}-w^2\sqrt{3wy^2}$...from here you can see this is the same as $5yw^2\sqrt{3w}-w^2y\sqrt{3w}$..and go from there to get $\sqrt{3w}(5yw^2-yw^2)=\sqrt{3w}(4yw^2)$

$\sqrt{3w}(4yw^2)$
So that's the furthest it can be simplified?