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Math Help - fix IT

  1. #1
    Member srirahulan's Avatar
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    Cool fix IT

    \sqrt{8+2\sqrt{15}}=\sqrt{5+\sqrt{3}} prove this one.
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  2. #2
    mfb
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    Re: fix IT

    \sqrt{8+2\sqrt{15}}\approx 3.97
    \sqrt{5+\sqrt{3}}\approx 2.59
    Tricky to prove that both are equal. Is there a typo somewhere?

    And apart from that: Your approach so far? What did you try, what did you find out?
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  3. #3
    MHF Contributor Reckoner's Avatar
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    Re: fix IT

    Quote Originally Posted by srirahulan View Post
    \sqrt{8+2\sqrt{15}}=\sqrt{5+\sqrt{3}} prove this one.
    I think you mean

    \sqrt{8+2\sqrt{15}}=\sqrt5+\sqrt3?
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  4. #4
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    Re: fix IT

    Quote Originally Posted by srirahulan View Post
    \sqrt{8+2\sqrt{15}}=\sqrt{5+\sqrt{3}} prove this one.
    Prove what? That these are equal? They obviously are not. \sqrt{8+ 2\sqrt{15}} is approximately
    3.968 and \sqrt{5+ \sqrt{3}} is approximately 2.595.
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  5. #5
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    Re: fix IT

    Quote Originally Posted by Reckoner View Post
    I think you mean

    \sqrt{8+2\sqrt{15}}=\sqrt5+\sqrt3?
    Ah! Now that makes sense. srirahulan, observe that both sides are positive numbers and square both sides.
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