Respuesta :

The least positive integer will be 17.

Explanation

Lets assume, the integer is [tex]x[/tex]

As the square root of this integer needs to greater than 4, that means....

[tex]\sqrt{x} >4\\ \\ x>4^2\\ \\ x>16[/tex]

Thus, the integer should be greater than 16

So, the least positive integer with a square root greater than 4 will be 17.