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.
Square root of 169 by prime factorization method.
Thew following steps will be useful to find square root of a number by prime factorization.
Thus we can write our square root in terms of its factors like this.
To learn more about squares and square roots enrol in our full course now.
Take one factor from each pair.
As an example let s find the square root of 45 using this method.
Https bit ly exponentsandpowersg8 in this video we will learn.
Iii combine the like square root terms using mathematical operations.
Sqrt 3 3 5.
The product obtained in step v is the required square root.
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.
Just enter 169 into the device and hit the square root button.
Find the product of factors obtained in step iv.
We conclude that 84 is not a perfect square and does not have a square root that is a whole number.
Steps to solving the problem.
Simply remove the 3 s and put one 3 outside the square root to get your square root in simplest terms.
We know that 45 9 5 and we know that 9 3 3.
0 00 how to fin.