#include <stdio.h>
#include <math.h>
int testsq(int s) //returns true if s is a perfect square and not zero
{
if (s==0) return 0;
int r=sqrt(s);
return (r*r == s);
}
main()
{
int i,up2,low2;
for(i=1;i<100;++i) {
up2=(i*i)/100; low2=(i*i)%100;
if (testsq(up2)&&testsq(low2))
printf("%d: %d %d\n",i,up2,low2);
}
}
169 and 196 are perfect squares. Their square roots are 13 and 14 respectively. The perfect squares from 1^2 to 16^2 are: 1,4, 9, 16, 25, 36, 49, 64, 81, 100, 144, 169, 196, 225, 256. It is useful to memorize the perfect squares, as it makes estimating square roots easier. In case you wanted to find the square root of 169,196, the answer is roughly 411.334414... The square roots of integers which are not perfect squares are irrational, so they can not be expressed exactly as a sequence of digits.
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
409610
77
It is 31.
Perfect squares cannot have digits after the decimal point.
9631. The sequence consists of the prime numbers which, when their digits are reversed, are perfect squares.
169 and 196 are perfect squares. Their square roots are 13 and 14 respectively. The perfect squares from 1^2 to 16^2 are: 1,4, 9, 16, 25, 36, 49, 64, 81, 100, 144, 169, 196, 225, 256. It is useful to memorize the perfect squares, as it makes estimating square roots easier. In case you wanted to find the square root of 169,196, the answer is roughly 411.334414... The square roots of integers which are not perfect squares are irrational, so they can not be expressed exactly as a sequence of digits.
To find how many two-digit numbers have digits whose sum is a perfect square, we first note that the two-digit numbers range from 10 to 99. The possible sums of the digits (tens digit (a) and units digit (b)) can range from 1 (1+0) to 18 (9+9). The perfect squares within this range are 1, 4, 9, and 16. Analyzing each case, we find the valid combinations for each perfect square, leading to a total of 36 two-digit numbers whose digits sum to a perfect square.
It is a factor of 32, which means it is one of 1, 2, 4, 8, 16, and 32. The perfect squares among the factors of 32 are 4 and 16. Of those two, the only one with a sum of digits that is odd is 16.
99
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
The sum of the squares of the digits of 13 is 12 + 32 = 10. The sum of the squares of the digits of this result is 12 + 02 = 1. Because this process results in a 1, this number is a happy number.
7 squares is forty nine so you remove two toothpicks to make the digits 49
409610
The number "hundred thousand" is represented numerically as 100,000. This number has six digits.
Prime factorization: 26 = 2 * 13 It can be represented as the sum of two squares: 26 = 12 * 52 26 is an even number. 26 in base 3 is a repetition of 3 digits: 26 = 2223