The least positive integer will be 17.
<em><u>Explanation</u></em>
Lets assume, the integer is
As the square root of this integer needs to greater than 4, that means....
![\sqrt{x} >4\\ \\ x>4^2\\ \\ x>16](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%3E4%5C%5C%20%5C%5C%20x%3E4%5E2%5C%5C%20%5C%5C%20x%3E16)
Thus, the integer should be <u>greater than 16</u>
So, the least positive integer with a square root greater than 4 will be 17.