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Math Help - Distance Formula with Roots

  1. #1
    Newbie
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    Sep 2007
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    Distance Formula with Roots

    Hey guys! I'm having problems with some problems regarding the distance formula and I am thoroughly stumped, so I kindly ask for help please. I'm fine solving distance without roots but when the roots came in I became lost.
    *don't know how to do the square root symbol on here so I will just put, a "*" before the square roots.

    1) (0, -*3) and (*5, 0)
    Square Roots: negative square root of 3 (the negative is on the outside), and square root of 5

    2) (3*3, *5) and (-*3, 3*5)
    Square Roots: (3 square root of 3, square root of 5) and (negative square root of 3, 3 square root of 5) Sorry about the lack of square root symbol! Thanks!
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  2. #2
    Super Member
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    London / Cambridge
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    for the first one you're trying to find the distance between the points \left( 0,-\sqrt{3} \right) and \left( \sqrt{5},0 \right).

    All you have to do is use pythagorus' theorem, you form a right angled triangle with sides of length \sqrt{3} and \sqrt{5} find out the length of the hypotenuse (and hence the distance between the points)

    d^2 = {\sqrt{3}}^2 + {\sqrt{5}}^2 so d^2 = 3 + 5
    d^2 = 8
    d= 2\sqrt{2}
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