If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. 1 | 1 ∴ Prime Factorization of 7921 = 89 × 89 ∴ √7921 = √(89 × 89 = 89 Hence, the square root of 7921 is 89 • (ii) Inside the square root, for every two same numbers multiplied, one number can be taken out of the square root. Step V: Find the product of factors obtained in step IV. • Your email address will not be published. For imperfect squares, we can use long division method to find the square root. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. 89 | 89. For example, let us find the prime factors of 576. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 768. Ex 6.3, 4 Find the square roots of the following numbers by the Prime Factorization Method. Finding square root by prime factorisation is an easy method. For finding the square root, firstly we have to pair the common factors. Square root of a number is the value that returns the original number on multiplied by itself. Hence, if one of the sides is known then the area can be easily calculated. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. In the same way, the inverse of squaring a number is finding its root. This can easily be done by finding the square root of the area. The value obtained after calculating the square root will be the length of its side. You may need to download version 2.0 now from the Chrome Web Store. (i) 729We use prime factorization to find square root.Thus, 729 = 3 × 3 × 3 × 3 × 3 × 3Square root of 729 = 3 × 3 × 3 = 9 × 3 = 27 Ex 6.3, 4 Find the square roots of t Let us see here some more examples to find square root of numbers. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers. Thew following steps will be useful to find square root of a number by prime factorization. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Your IP: 87.106.42.115 (iii) Take one factor from pair. The orange divisor(s) above are the prime factors of the number 768. For example 12 and 144. To learn more about other topics download BYJU’S – The Learning App and watch interactive videos. Solution: The prime factorisation of 324 can be written as: Find the square root of numbers using prime factorisation method. Its length will be: Therefore, the side of the square is 15 units. Performance & security by Cloudflare, Please complete the security check to access. It can also be written in exponential form as 2 8 x 3 1. 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Another way to do prime factorization is to use a factor tree. Now, what if the area of the square is given, and we have to calculate the length of its side? Let us consider the prime factors of a number and its square. \(576\) = \(\underline{2~ ×~ 2} ~×~\underline{ 2 ~×~ 2} ~×~ \underline{2~ ×~ 2} ~×~\underline{ 3~ ×~ 3}\), \(\Rightarrow~ 576\) = \(2^2~ × ~2^2 ~× ~2^2~ ×~ 3^2\).

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