1^2 + 6^2 + 7^2 + 8^2
1 + 36 + 49 + 64 = 150
150 = 12 + 62 + 72 + 82
sum of 150 what? first 150 numbers?
12^2+2^2+1^2+1^2 = 144 + 4 + 1 + 1 = 150.
The sum of the numbers between 51 and 150 is equal to 10050 - or 50 x 201 - as there are 50 lots of 201 in the sum.
To express 95 as the sum of four or fewer square numbers, we can use the Lagrange's four-square theorem, which states that any natural number can be expressed as the sum of four integer squares. In this case, 95 can be written as 9^2 + 4^2 + 2^2, which equals 81 + 16 + 4, satisfying Fermat's statement. This demonstrates that 95 can indeed be expressed as the sum of three square numbers.
150 = 12 + 62 + 72 + 82
7
100 + 49 + 1
sum of 150 what? first 150 numbers?
You can. Just add the numbers together, and find their square root. One plus three is four; the square root of the sum is two.
here are some 144 4 1 1 9 16 25 100 1 36 49 64
The sum is 150*151/2 = 11,325
12^2+2^2+1^2+1^2 = 144 + 4 + 1 + 1 = 150.
The four possible answers are +/- 18 or +/- 22.
150/160
The sum of the numbers between 51 and 150 is equal to 10050 - or 50 x 201 - as there are 50 lots of 201 in the sum.
To express 95 as the sum of four or fewer square numbers, we can use the Lagrange's four-square theorem, which states that any natural number can be expressed as the sum of four integer squares. In this case, 95 can be written as 9^2 + 4^2 + 2^2, which equals 81 + 16 + 4, satisfying Fermat's statement. This demonstrates that 95 can indeed be expressed as the sum of three square numbers.