# Find The Square Root Of 2025 By Using The Method Of Prime Factorization

### 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.

Find the square root of 2025 by using the method of prime factorization.

Let s find the prime factorization of 72. We can write 72 as. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. Thew following steps will be useful to find square root of a number by prime factorization.

72 2 x 36 now find the smallest prime number that divides into 36. Iii combine the like square root terms using mathematical operations. I decompose the number inside the square root into prime factors. Since there is an even number of prime factors and they can be grouped in identical pairs.

Note the the only prime factors of 72 are 2 and 3 which are prime numbers. Say you want to find the prime factors of 100 using trial division. To learn more about squares and square roots enrol in our full course now. The product obtained in step v is the required square root.

Start by testing each integer to see if and how often it divides 100 and the subsequent quotients evenly. Resolve the given number into prime factors. Https bit ly exponentsandpowersg8 in this video we will learn. 0 00 how to fin.

Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. Take one factor from each pair. Start with the smallest prime number that divides into 72 in this case 2.

Find the product of factors obtained in step iv. Examples on square root of a perfect square by using the prime factorization method. Find primes by trial division and use primes to create a prime factors tree. Make pairs of similar factors.

We conclude that 84 is not a perfect square and does not have a square root that is a whole number. Take the product of prime factors choosing one factor out of every pair. We cover two methods of prime factorization. Prime factorization by trial division.

Square root by prime factorization method example 1 find the square root. This is a step by step guide for finding the value of square root of 4096 for finding the square root of any number we have two methods. Generally prime factorization is used for finding square roots of small numbers.

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