Square Root Of 169 By Prime Factorization Method

As an example let s find the square root of 45 using this method.

Square root of 169 by prime factorization method. 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. Thus we can write our square root in terms of its factors like this. Iii combine the like square root terms using mathematical operations. Just enter 169 into the device and hit the square root button.

Https bit ly exponentsandpowersg8 in this video we will learn. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. We conclude that 84 is not a perfect square and does not have a square root that is a whole number. The product obtained in step v is the required square root.

Take one factor from each pair. 0 00 how to fin. Sqrt 3 3 5. We know that 45 9 5 and we know that 9 3 3.

Thew following steps will be useful to find square root of a number by prime factorization. Steps to solving the problem. To learn more about squares and square roots enrol in our full course now. If you are near a computer calculator or even phone calculating the square root of 169 is simple.

Find the product of factors obtained in step iv. Simply remove the 3 s and put one 3 outside the square root to get your square root in simplest terms.