Square Root Of 169 By Prime Factorization Method

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Square root of 169 by prime factorization method.

I decompose the number inside the square root into prime factors. 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. Find the product of factors obtained in step iv.

Thus we can write our square root in terms of its factors like this. As an example let s find the square root of 45 using this method. We conclude that 84 is not a perfect square and does not have a square root that is a whole number. Thew following steps will be useful to find square root of a number by prime factorization.

Square root by prime factorization method example 1 find the square root. Https bit ly exponentsandpowersg8 in this video we will learn. To learn more about squares and square roots enrol in our full course now. Take one factor from each pair.

If you are near a computer calculator or even phone calculating the square root of 169 is simple. Just enter 169 into the device and hit the square root button. The product obtained in step v is the required square root. Iii combine the like square root terms using mathematical operations.

Sqrt 3 3 5. Steps to solving the problem.