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Math Help - [SOLVED] Check My Work: simplifying

  1. #1
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    [SOLVED] Check My Work: simplifying

    This is probably really simple but i need 2 make sure i got this problem right.

    it says to simplify.

    The square root of 5 over 2x

    I got the square root of 10x divided by 2x.

    i think i got it right just plz check my work thanks.
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  2. #2
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    Quote Originally Posted by nick_c View Post
    This is probably really simple but i need 2 make sure i got this problem right.

    it says to simplify.

    The square root of 5 over 2x

    I got the square root of 10x divided by 2x.

    i think i got it right just plz check my work thanks.
    is your problem like this:

     \frac{\sqrt{5}}{2x}

    then to simplify the above?
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  3. #3
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    No the square root is over the entire problem sry for makin it so hard to understand.
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  4. #4
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    Correct.

    \sqrt{\frac5{2x}} = \frac{\sqrt5}{\sqrt{2x}} = \frac{\sqrt5\color{red}\cdot\sqrt{2x}}{\sqrt{2x}\c  olor{red}\cdot\sqrt{2x}} = \frac{\sqrt5\sqrt{2x}}{2x} = \frac{\sqrt{10x}}{2x}
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