Actually, any positive number n has two square roots, namely sqrt(n) and -sqrt(n). The Square root of 121 is 11, because 11 x 11 = 121-11 is also a square root of 121. Answer: Mixed number Answer: It is neither, in the sense that you can't write the Square root of any positive integer (except for the square root of perfect squares) exactly as a fraction. The square root of 121 is the number which multiplied by itself will give 121, the answer is 11. If the integer is odd, its square is odd. An Integer Square Root Algorithm The C algorithm shown in Fig. 2.8 performs an integer square root of the input a as shown in Table 2.1. Factoring. If the integer is even, its square is even. Using bitwise operations. (11*11=121). The square root of a number n, written sqrt(n), is the number x such that x^2=n. If x is not a perfect square, then return floor(√x). We can conclude that 121 could be a perfect square! For an integer x to be the square root of the given integer N, x*x must be equal to N. This is an interview problem asked in companies like Amazon, Microsoft and Facebook. The square can be obtained by multiplying the integer by itself. Is 4 in the list of digital roots that are always a square root (1, 4, 7 or 9)? Also note that the while loop is executed as long as square is less than or equal to a. The square root of 13 is an irrational number. Given an integer, your task is to find the square root of the integer. Given an integer x, find it’s square root. Answer: YES, 4 is in the list of digital roots that are always perfect squares. OK, so now we know that 121 could be a perfect square. Examples : Input: x = 4 Output: 2 Explanation: The square root of 4 is 2.Input: x = 11 Output: 3 Explanation: The square root of 11 lies in between 3 and 4 so floor of the square root is 3. The traditional pen-and-paper algorithm for computing the square root is based on working from higher digit places to lower, and as each new digit pick the largest that will still yield a square ≤.If stopping after the one's place, the result computed will be the integer square root. Note from Table 2.1 that the difference between successive squares, delta, is just the sequence of odd numbers. The square of an integer is always an integer. Digit-by-digit algorithm. The notation sqrt(n) denotes the principal square root, which is the positive one. It does not fall into any of the other categories.