Square Root Of 169 By Prime Factorization Method

We conclude that 84 is not a perfect square and does not have a square root that is a whole number.

Square root of 169 by prime factorization method.

Simply remove the 3 s and put one 3 outside the square root to get your square root in simplest terms. Thus we can write our square root in terms of its factors like this. If you are near a computer calculator or even phone calculating the square root of 169 is simple. Thew following steps will be useful to find square root of a number by prime factorization.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Take one factor from each pair. Square root by prime factorization method example 1 find the square root. Sqrt 3 3 5.

Steps to solving the problem. Use the prime factorization method to decide if these numbers are perfect squares and to find the square roots of those that are perfect squares. We know that 45 9 5 and we know that 9 3 3. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Find the product of factors obtained in step iv. 0 00 how to fin. I decompose the number inside the square root into prime factors. Https bit ly exponentsandpowersg8 in this video we will learn.

Just enter 169 into the device and hit the square root button. Iii combine the like square root terms using mathematical operations.