Question

using prime factorization method, find square of given number: 1) 128881 2) 45630025 3) 21669025 4) 10601536 5) 77951241​

Answer 1

Step-by-step explanation:

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two. For example, the square root of 9 is √9 = √(3×3) = 3.

We can see, 9 is a perfect square and hence it is easier to find the root of such numbers. For imperfect squares, we can use long division method to find the square root.

how to find Square root of a number by prime factorization?

The inverse process of subtraction is addition and of division is multiplication. In the same way, the inverse of squaring a number is finding its root.