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Math Help - Reducing/Simplifying square root

  1. #1
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    Reducing/Simplifying square root

    During my work with reducing/simplifying, have I faced a new problem. This time is about reducing/square root the square root.

    The task looks like this:

    √(a2 + b2 - 2ab)

    My solution looks like this, but i'm not sure, if there is anything more to do, or if it's even correct.

    a + b - 2ab0.5
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  2. #2
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    Re: Reducing/Simplifying square root

    Quote Originally Posted by JrAl View Post
    During my work with reducing/simplifying.
    [COLOR=#000000][FONT=sans-serif]√(a2 + b2 - 2ab)
    Realize that \sqrt{x^2}=|x| also a^2+b^2-2ab=(a-b)^2.

    Put those together and what is the answer.
    Thanks from JrAl and Siron
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  3. #3
    Senior Member sakonpure6's Avatar
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    Re: Reducing/Simplifying square root

    I know your answer is wrong because square root of 2 is a very long number and multiplying by 0.5 wont give you the same answer.
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  4. #4
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    Re: Reducing/Simplifying square root

    Thanks! Haven't thought of factorize before finding the square root.
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