# JavaScript: Sum of two square numbers equal to an integer

## JavaScript Math: Exercise-110 with Solution

Write a JavaScript program to check whether the sum of two square integers is equal to another given integer.

For example a^{2} + b^{2} = c where c is the given integer.

Example: 13 = 2^{2} + 3^{2}

**Test Data:**

(2) -> true

(5) -> true

(13) -> true

(15) -> false

**Sample Solution:**

**HTML Code:**

```
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>JavaScript program to Sum of two square numbers equal to an integer</title>
</head>
<body>
</body>
</html>
```

**Solution-1**

**JavaScript Code:**

```
function test(n) {
if (n<=1) return false;
max_val = Math.floor(Math.sqrt(n - 1));
while (max_val >= 0) {
temp = Math.sqrt(n - max_val*max_val);
if (!(temp % 1)) {
return true;
};
max_val -= 1;
};
return false;
}
n = 2
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 5
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 13
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 15
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
```

Sample Output:

n = 2 Check sum of two square integers is equal to said integer: true n = 5 Check sum of two square integers is equal to said integer: true n = 13 Check sum of two square integers is equal to said integer: true n = 15 Check sum of two square integers is equal to said integer: false

**Flowchart: **

**Live Demo: **

See the Pen javascript-math-exercise-110 by w3resource (@w3resource) on CodePen.

**Solution-2**

**JavaScript Code:**

```
function test(n) {
if (n<=1) return false;
for(var i = 0; i*i <= n; i++){
for(var j = 0; j*j <= n; j++)
{
var a= i*i;
var b = j*j;
if(a + b == n)
return true;
}
}
return false;
}
n = 2
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 5
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 13
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
n = 15
console.log("n = "+n)
console.log("Check sum of two square integers is equal to said integer: "+test(n));
```

Sample Output:

n = 2 Check sum of two square integers is equal to said integer: true n = 5 Check sum of two square integers is equal to said integer: true n = 13 Check sum of two square integers is equal to said integer: true n = 15 Check sum of two square integers is equal to said integer: false

**Flowchart: **

**Live Demo: **

See the Pen javascript-math-exercise-110-1 by w3resource (@w3resource) on CodePen.

**Improve this sample solution and post your code through Disqus**

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