Find The Square Root Of 1764 By Using The Method Of Prime Factorization

Since there is an even number of prime factors and they can be grouped in identical pairs.

Find the square root of 1764 by using the method of prime factorization.

Make pairs of similar factors. The number 1 is not a prime number but a divider for every natural number. To find the square root of a perfect square by using the prime factorization method when a given number is a perfect square. Your prime factorization is the empty product with 0 factors which is defined as having a value of 1.

Resolve the given number into prime factors. 0 00 how to fin. To learn more about squares and square roots enrol in our full course now. Take one factor from each pair.

Square root by prime factorization method example 1 find the square root. Iii combine the like square root terms using mathematical operations. Find the product of factors obtained in step iv. Since the number is a perfect square you will be able to make an exact number of pairs of prime factors.

Examples on square root of a perfect square by using the prime factorization method. It is often taken as the smallest natural number however some authors include the natural numbers from zero. Cubed root of 1764. Https bit ly exponentsandpowersg8 in this video we will learn.

The product obtained in step v is the required square root. Ii inside the square root for every two same numbers multiplied one number can be taken out of the square root. I decompose the number inside the square root into prime factors. Take the product of prime factors choosing one factor out of every pair.