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Math Help - Simplify expression - steps?

  1. #1
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    Simplify expression - steps?

    THe link below shows a picture of a problem i need help in how can i solve it? what are the step by step? you can also help me solve it so i can find ot how to solve my other problems. Thanks ;]



    http://img369.imageshack.us/my.php?image=dsdsdsyw2.png
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  2. #2
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    do you know the rule for manipulating radicals
    \sqrt{ab}=\sqrt{a} \times \sqrt{b}

    so use this and taking out the common factor of \sqrt{x^2}=|x|

    then use the fact that \sqrt{90}=\sqrt{9} \times \sqrt{10}=3 \sqrt{10}
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  3. #3
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    i still don't know how should i do the problem.... is there a step by step showing of that problem. im sorry. ;[
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  4. #4
    MHF Contributor
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    We start with: 5\sqrt{10x^2} - \sqrt{90x^2}

    We can simplify the second radical by pulling out a factor of 9: 5\sqrt{10x^2} - \sqrt{9} \cdot \sqrt{10x^2}

    Then the square root of 9 becomes 3: 5\sqrt{10x^2} - 3\sqrt{10x^2}

    We combine the like terms: 2\sqrt{10x^2}

    We can also take out a factor of x^2: 2\sqrt{x^2} \cdot \sqrt{10}

    The square root of x^2 is the absolute value of x: 2|x|\sqrt{10}

    And the problem is done, because \sqrt{10} cannot be further broken down.
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