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CassiusDelaney

  • 3 years ago

Pierre de Fermat, a 17th century French lawyer, stated that any whole number can be written as the sum of four or less square numbers. For Example . 15 = 3(squared) + 2(squared) + 1(squared) + 1(squared)

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  1. rctnk99
    • 3 years ago
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    It's a nice theorem, but what is the question?

  2. CassiusDelaney
    • 3 years ago
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    oh sorry u have to make 95

  3. rctnk99
    • 3 years ago
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    Make 95 out of sums of squares?

  4. CassiusDelaney
    • 3 years ago
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    yeah :)

  5. rctnk99
    • 3 years ago
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    Ok, so what the largest perfect square less than 95?

  6. rctnk99
    • 3 years ago
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    what's*

  7. CassiusDelaney
    • 3 years ago
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    ummmmmmmmmmm...

  8. rctnk99
    • 3 years ago
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    10^2 is 100. What's 9^2?

  9. CassiusDelaney
    • 3 years ago
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    81

  10. rctnk99
    • 3 years ago
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    Then the largest perfect square that won't add up to over 95?

  11. timo86m
    • 3 years ago
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    I like that theorem

  12. CassiusDelaney
    • 3 years ago
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    so 9^2 + 4^2 + 1^2 is the answer?

  13. rctnk99
    • 3 years ago
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    Close. 4^2 is 16. 81+16+1 is 98. So you have to use 3^2.

  14. CassiusDelaney
    • 3 years ago
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    now im lost :/

  15. rctnk99
    • 3 years ago
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    Ok, 9^2 is 81, right? You can't use 4^2 since 81+16 is greater than 95. So 81+3^2 is 90. Now you have 5 left. How can you make 5 out of sums of squares?

  16. CassiusDelaney
    • 3 years ago
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    2^2 and 1^2

  17. rctnk99
    • 3 years ago
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    So your answer is 9^2+3^2+2^2+1^2.

  18. CassiusDelaney
    • 3 years ago
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    oh thank you mate :)

  19. rctnk99
    • 3 years ago
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    Such a fun theorem.

  20. CassiusDelaney
    • 3 years ago
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    haha :)

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