Question

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)

Answer 1

It's a nice theorem, but what is the question?

Answer 2

oh sorry u have to make 95

Answer 3

Make 95 out of sums of squares?

Answer 4

yeah :)

Answer 5

Ok, so what the largest perfect square less than 95?

Answer 6

what's*

Answer 7

ummmmmmmmmmm...

Answer 8

10^2 is 100. What's 9^2?

Answer 9

81

Answer 10

Then the largest perfect square that won't add up to over 95?

Answer 11

I like that theorem

Answer 12

so 9^2 + 4^2 + 1^2 is the answer?

Answer 13

Close. 4^2 is 16. 81+16+1 is 98. So you have to use 3^2.

Answer 14

now im lost :/

Answer 15

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?

Answer 16

2^2 and 1^2

Answer 17

So your answer is 9^2+3^2+2^2+1^2.

Answer 18

oh thank you mate :)

Answer 19

Such a fun theorem.

Answer 20

haha :)