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. Thew following steps will be useful to find square root of a number by prime factorization. We conclude that 84 is not a perfect square and does not have a square root that is a whole number. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.

If you are near a computer calculator or even phone calculating the square root of 169 is simple. Take one factor from each pair. To learn more about squares and square roots enrol in our full course now. Square root by prime factorization method example 1 find the square root.

Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Iii combine the like square root terms using mathematical operations. The product obtained in step v is the required square root. Simply remove the 3 s and put one 3 outside the square root to get your square root in simplest terms.

Steps to solving the problem. Just enter 169 into the device and hit the square root button. Https bit ly exponentsandpowersg8 in this video we will learn. 0 00 how to fin.

We know that 45 9 5 and we know that 9 3 3. Sqrt 3 3 5.