8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
4
4
The sum of the squares of two consecutive positive numbers is 41.What is the smaller number?Improved Answer:-It is 4 because 42+52 = 41
4 and 5 4 + 5 = 9 42 + 52 = 16 + 25 = 41
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
42 + 52 = 16 + 25 = 41
4
4
4
4+5=9 42+52=41
The sum of the squares of two consecutive positive numbers is 41.What is the smaller number?Improved Answer:-It is 4 because 42+52 = 41
5 5+4 = 9 52+42 = 41
4 and 5 4 + 5 = 9 42 + 52 = 16 + 25 = 41
As 41 is a prime number, the only two positive whole numbers that multiply together to make 41 are 1 and 41: 1 x 41 = 41
4 and 5. The square of 4 is 16, the square of 5 is 25, and those add up to 41. While you said "positive", it works with the squares of negative 4 and negative 5 as well.
It's the other way around. The square root of 41 lies between 6 and 7.