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Answer By prime factorisation we know 81 3 x 3 x 3 x 3 Pairing the numbers to get the perfect squares we get 81 9 x 9 9 2 Hence 81 9 Find the square root of 625 Answer By prime factorisation we know 625 5 x 5 x 5 x 5 Pairing the numbers to get the perfect squares we get 625 25 x 25 25 2 Hence 625 25 How to In this video we have studied how to find squares of a given number by using prime factorization method Since there is an even number of prime factors and
how to find square root of a number by prime factorization method
how to find square root of a number by prime factorization method
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The following steps will be useful to find square root of a number by prime factorization i Decompose the number inside the square root into prime factors 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 Brian McLogan 1 46M subscribers Subscribed 358 34K views 9 years ago How to Simplify the Square Root of a Number Learn how to find the square root of a number To find the
In order to find the square root by the prime factorization method we follow the step given below Divide the given number into its prime factor Secondly make the pair of similar factors in a way that both the factors in each pair are equal Then take one factor from the available set of pairs Prime factorization offers a simple method for finding this value This process involves breaking down the number under the root into its prime factors and grouping them into pairs For instance the square root of 25 is 25 5 5 5 It s straightforward to find the root of perfect squares like 25 But what about imperfect squares
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The square root formula is used to find the square root of a number We know the exponent formula n x x n x 1 n When n 2 we call it square root We can use any of the above methods for finding the square root such as prime factorization and so on 9 1 2 9 3 3 3 To find the square root of a given square number by prime factorization we follow the following steps Obtain the prime factorization of the given natural number Make pairs of identical factors Take one factor from each pair and find their product The product so obtained is the square root of the given number For example
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