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.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. 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. Https bit ly exponentsandpowersg8 in this video we will learn. Take one factor from each pair.

Thus we can write our square root in terms of its factors like this. Thew following steps will be useful to find square root of a number by prime factorization. We know that 45 9 5 and we know that 9 3 3. I decompose the number inside the square root into prime factors.

Square root by prime factorization method example 1 find the square root. If you are near a computer calculator or even phone calculating the square root of 169 is simple. Sqrt 3 3 5. To learn more about squares and square roots enrol in our full course now.

Just enter 169 into the device and hit the square root button. 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. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

0 00 how to fin. The product obtained in step v is the required square root.