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Math Help - Simplifying Radicals

  1. #1
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    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?



    Many thanks!
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by eraser851 View Post
    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?



    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)
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  3. #3
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    Quote Originally Posted by Mathstud28 View Post
    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?
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