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  1. MHB Craftsman
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    #1
    Determine the positive numbers, $a$, such that the sum:

    $$\sqrt[3]{3+\sqrt{a}}+\sqrt[3]{3-\sqrt{a}}$$

    is an integer.

  2. MHB Master
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    #2
    Quote Originally Posted by lfdahl View Post
    Determine the positive numbers, $a$, such that the sum:

    $$\sqrt[3]{3+\sqrt{a}}+\sqrt[3]{3-\sqrt{a}}$$

    is an integer.
    my solution:
    Last edited by Albert; September 11th, 2017 at 01:57.

  3. MHB Craftsman
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  4. MHB Master
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    #4
    another solution:
    Last edited by Albert; September 11th, 2017 at 02:12.

  5. MHB Craftsman
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    Quote Originally Posted by Albert View Post
    Well done, thankyou Albert!


    An alternative approach can be found here:


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