C :

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
    int n=0,l=0;
    double m=0;
    while(1)
    {
        n++;
        m=sqrt(n+100);
        l=sqrt(n+100);
        if(m==l)
        {
            m=sqrt(n+268);
            l=sqrt(n+268);
            if(m==l)
            {
                printf("%d",n);
                break;
            }
        }
    }
    return 0;
}

C++ :

#include<bits/stdc++.h>
using namespace std;
int main(){
	int a=1;
	while(true){
		if((int)sqrt(a+100)==sqrt(a+100)){
			if((int)sqrt(a+268)==sqrt(a+268)){
				break;
			} 
		} 
		a++;
	}
	cout<<a;
	return 0;
}

Java :

public class Main {
	public static void main(String[] args) {
		for(int i = 1;;i++) {
			double a = Math.sqrt(i+100);
			double b = Math.sqrt(i+268);
			if((a % 2 == 1 | a % 2 == 0) && (b % 2 == 1 | b % 2 == 0)) {
				System.out.println(i);
				break;
			}
		}
	}
}

Python :

import sys
i=0;
while True:
    if int((i+100)**0.5)*int((i+100)**0.5)==i+100 and int((i+268)**0.5)*int((i+268)**0.5)==i+268:
        print(i)
        sys.exit()
    i=i+1