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Math Help - Probably a simple radical subtraction but making sure...

  1. #1
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    Probably a simple radical subtraction but making sure...

    It goes like this:

    x(square root of 5x-1) - (square root of 5x-1)

    They are like terms now. Is it something like this:

    x - (square root of 5x-1) ?
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  2. #2
    Super Member Aryth's Avatar
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    Actually, what you're going to do is factor the \sqrt{5x-1} out of the equation, what you do is:

    1. Pull the \sqrt{5x-1} out by adding parentheses around the entire equation and tacking a \sqrt{5x-1} right before the first parenthesis:

    Original:

    x\sqrt{5x-1} - \sqrt{5x-1}

    Step 1:

    \sqrt{5x-1}(x\sqrt{5x-1} - \sqrt{5x-1})

    2. Inside the parentheses, you divide each term by \sqrt{5x-1}:

    Step 1:

    \sqrt{5x-1}(x\sqrt{5x-1} - \sqrt{5x-1})

    Step 2:

    \sqrt{5x-1}(x - 1)

    And with that, you are done.
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  3. #3
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    Ok, that makes sense, but it's also all divided by 5. So am I still able to do that if there is a 5 on the bottom?
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  4. #4
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    Hello, cjh824!

    Simplify: . x\sqrt{5x-1} - \sqrt{5x-1}

    We have: . x\text{(thing)} - \text{(thing)}\quad\hdots \text{ or: }\:xa - a

    \text{Factor out the }a.

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