square root of 841 by prime factorization 1 Recognize that 841 is a perfect square as it can be expressed as 2 9 2 29 2 2 9 2 2 Apply the square root to the perfect square which gives 841 2 9 2 29 sqrt 841 sqrt 29 2 29 841 2 9 2 29 since the square root of a square is the number itself
Concept The prime factorization method is the method of breaking down a number into its prime numbers and when we multiply those factors we get the original number Given The number 841 Find We are asked to find the square root of 841 by using the prime factorization method Solution We have The number 841 Now According to the question Learn how to calculate the square root of 841 using the long division method and the prime factorization method Understand its representation in radical form and solve related examples Also find answers to frequently asked questions on the square root of 841
square root of 841 by prime factorization
square root of 841 by prime factorization
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Square Root Of 841 How To Find The Square Root Of 841
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Square Root Of 841 How To Find The Square Root Of 841
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So We will try to find the Square root of 841 by Prime Factorization Method Divide the given number by the smallest possible prime number for example The smallest possible prime number is 29 We get 841 29 29 So 841 29 29 29 How to simplify square root of 841 In order to simplify square root of 841 by using prime factorization you follow these steps Find prime factors of 841 Group the factors in 2 in such a way that each number of the group is same Take one factor from each group
To find the square root of 841 using the prime factorization method follow these steps Step 1 Prime Factorization of 841 Start by dividing 841 by the smallest prime number which is 2 Since 841 is odd it is not divisible by 2 Next try dividing by 3 The sum of the digits 8 4 1 13 is not divisible by 3 Calculating the square root of a perfect square involves finding the prime factorization of the number expressing the square root using the prime factors and simplifying the expression by taking one factor from each pair In the case of finding the square root of 841 the answer is 29
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Square root of a number is the value that returns the original number on multiplied by itself Finding square root by prime factorisation is an easy method We need to factories the number under the root and pair them in two For example the square root of 9 is 9 3 3 3 To find the square root of 841 We can use prime factorization method to obtain one number from each pair of the same numbers and multiply them The prime factorization of 841 is 29 29 which consists of 1 pair of the same number 29 Thus the square root of 841 29 Since 841 is a perfect square we can also express it as 29 2 The number
SQUARE ROOT OF 841 BY PRIME FACTORS METHOD Thus the prime factorization of a number 841 is 29 29 Hence the square root of 841 is equal to 29 Square root of number can be given as sqrt n times n sqrt n 2 n Complete step by step solution Find the prime factors of the given number Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number where prime numbers are the numbers greater than 1 and which
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square root of 841 by prime factorization - Calculating the square root of a perfect square involves finding the prime factorization of the number expressing the square root using the prime factors and simplifying the expression by taking one factor from each pair In the case of finding the square root of 841 the answer is 29