Iii combine the like square root terms using mathematical operations.
Square root of 169 by prime factorization method.
I decompose the number inside the square root into prime factors.
Steps to solving the problem.
Take one factor from each pair.
We conclude that 84 is not a perfect square and does not have a square root that is a whole number.
Sqrt 3 3 5.
Square root by prime factorization method example 1 find the square root.
To learn more about squares and square roots enrol in our full course now.
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.
Simply remove the 3 s and put one 3 outside the square root to get your square root in simplest terms.
0 00 how to fin.
As an example let s find the square root of 45 using this method.
Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root.
Https bit ly exponentsandpowersg8 in this video we will learn.
The product obtained in step v is the required square root.
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.
Just enter 169 into the device and hit the square root button.