1024
One hundred is the least three-digit square number. It is formed by 102.
121
' 100 ' is the square of 10.
I would just estimate, and then try out a few in the neighborhood of my estimate until I find it.My estimate is 320.3202 = 102,400 too big3152 = 99,225 too small3162 = 99,856 too small3172 = 100,489 just rightThe smallest 6-digit perfect square is 100,489.It's the square of 317.
1024
1024
10000 = 1002.
4,624 = 682
One hundred is the least three-digit square number. It is formed by 102.
STEP 1-First do prime factorization of 3610 STEP 2-Make pairs for each (2 numbers of the same value)STEP 3-The digit which is left alone is the least number to be multiplied by 3601 to make it a perfect square.
The least 2-digit prime number is 11. Thus, 11 squared is 121.
121
121
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
' 100 ' is the square of 10.
I would just estimate, and then try out a few in the neighborhood of my estimate until I find it.My estimate is 320.3202 = 102,400 too big3152 = 99,225 too small3162 = 99,856 too small3172 = 100,489 just rightThe smallest 6-digit perfect square is 100,489.It's the square of 317.