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

Square root by prime factorization method example 1 find the square root.

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

Take the product of prime factors choosing one factor out of every pair. Find the product of factors obtained in step iv. Thew following steps will be useful to find square root of a number by prime factorization. We can find square root by prime factorization method or by long division method.

Make pairs of similar factors. Note the the only prime factors of 72 are 2 and 3 which are prime numbers. Prime factorization example 1. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square.

Start with the smallest prime number that divides into 72 in this case 2. To learn more about squares and square roots enrol in our full course now. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. Iii combine the like square root terms using mathematical operations.

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. Https bit ly exponentsandpowersg8 in this video we will learn. We can write 72 as. Let s find the prime factorization of 72.

Examples on square root of a perfect square by using the prime factorization method. In this video we have studied how to find squares of a given number by using prime factorization method. Find primes by trial division and use primes to create a prime factors tree. The product obtained in step v is the required square root.

72 2 x 36 now find the smallest prime number that divides into 36. Since there is an even number of prime factors and they can be grouped in identical pairs. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors. 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.

I decompose the number inside the square root into prime factors. Generally prime factorization is used for finding square roots of small numbers. 0 00 how to fin. We conclude that 84 is not a perfect square and does not have a square root that is a whole number.

Prime factorization by trial division. Take one factor from each pair. Say you want to find the prime factors of 100 using trial division.