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Math Help - Simplifying a Radical Expression

  1. #1
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    Simplifying a Radical Expression

    I have 42+8sqrt2+2sqrt10 over 18. Since it is 42 plus something I am unsure if I am able to reduce 42 to 7 and 18 to 3?? I know I can't simplify any more for the square roots but I was just wondering about the numbers.
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    Simplifying a Radical Expression-possible.jpg I made a jpg to illustrate what I meant better.
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  3. #3
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    Quote Originally Posted by Gatsbro View Post
    Click image for larger version. 

Name:	possible.jpg 
Views:	6 
Size:	12.3 KB 
ID:	18682 I made a jpg to illustrate what I meant better.
    To simplify a fraction you have to factor the numerator and the denominator. Equal factors can be cancelled because \dfrac aa = 1~,~a \neq 0:

    \dfrac{42+8\sqrt{2}+2\sqrt{10}}{18}=\dfrac{2\left(  21+4\sqrt{2}+\sqrt{10}\right)}{2 \cdot 9}

    ... and now it's your turn.
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