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Math Help - Ratio and proportion 2

  1. #1
    Junior Member
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    Smile Ratio and proportion 2

    Hello!
    This is a question about ratio and proportion.
    Ratio and proportion 2-5225.bmp

    When I solve the question I get the answer to be sqrt21, which isn't correct. The correct answer is a).
    I would appreciate your help
    Thanks,
    Amine.
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  2. #2
    MHF Contributor
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    Quote Originally Posted by Aminekhadir View Post
    Hello!
    This is a question about ratio and proportion.
    Click image for larger version. 

Name:	5225.bmp 
Views:	651 
Size:	415.6 KB 
ID:	13400

    When I solve the question I get the answer to be sqrt21, which isn't correct. The correct answer is a).
    I would appreciate your help
    Thanks,
    Amine.
    HI

    a+b=\sqrt{(1-\sqrt{5})^2}+\sqrt{(\sqrt{5}-\sqrt{20})^2}

    =|1-\sqrt{5}|+|\sqrt{5}-\sqrt{20}|

    =|1-\sqrt{5}+\sqrt{5}-\sqrt{20}|

    =|1-\sqrt{20}|

    =1-\sqrt{20} or \sqrt{20}-1

    Since it must be positive , then take \sqrt{20}-1
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