anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
It's a nice theorem, but what is the question?
anonymous
  • anonymous
oh sorry u have to make 95
anonymous
  • anonymous
Make 95 out of sums of squares?

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anonymous
  • anonymous
yeah :)
anonymous
  • anonymous
Ok, so what the largest perfect square less than 95?
anonymous
  • anonymous
what's*
anonymous
  • anonymous
ummmmmmmmmmm...
anonymous
  • anonymous
10^2 is 100. What's 9^2?
anonymous
  • anonymous
81
anonymous
  • anonymous
Then the largest perfect square that won't add up to over 95?
anonymous
  • anonymous
I like that theorem
anonymous
  • anonymous
so 9^2 + 4^2 + 1^2 is the answer?
anonymous
  • anonymous
Close. 4^2 is 16. 81+16+1 is 98. So you have to use 3^2.
anonymous
  • anonymous
now im lost :/
anonymous
  • anonymous
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?
anonymous
  • anonymous
2^2 and 1^2
anonymous
  • anonymous
So your answer is 9^2+3^2+2^2+1^2.
anonymous
  • anonymous
oh thank you mate :)
anonymous
  • anonymous
Such a fun theorem.
anonymous
  • anonymous
haha :)

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