root of 1764 by using prime factorization Ex 5 3 4 Find the square roots of the following numbers by the Prime Factorization Method iii 1764 By prime Factorization 1764 2 2 3 3 7 7 2 3 7 2 21 42
Solve for the square root of given number Given number is 1764 The prime factorization of 1764 can be written as 1764 2 882 2 2 441 2 2 3 147 2 2 3 3 49 2 2 3 3 7 7 1764 2 x 2 x 3 x 3 x 7 x 7 Taking square root on both sides 1764 2 x 2 x 3 x 3 x 7 x 7 1764 2 x To find the square root we group the prime factors in pairs and then take individual factors out of the pair and multiply them Complete step by step solution We can factorize 1764 as begin align 2 left underline 1764 right 2 left underline 882 right
root of 1764 by using prime factorization
root of 1764 by using prime factorization
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Square Root Of 1764 By Prime Factorization Method And Division Method
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Take Any Square Root by Hand Easy to Learn This is a step by step video tutorial on How to Find the Square Root of 1764 Square Root of 1764 Square Root by Prime In this question we need to find the square root of 1764 First we make the prime factor of 1764 1764 2 x 2 x 3 x 3 x 7 x 7 Now making pairs 1764 2 x 2 x 3 x 3 x 7 x 7 Take one factor from each pair So in this case we get 2 3 and 7 And find the product 2 x 3 x 7 42
To determine the simplest form of the square root of 1 764 we can factorize the number into its prime factors Then we can identify any pairs of identical prime factors and remove them from the square root The prime factorization of 1 764 is 1 764 2 2 3 3 7 7 Now we can group the pairs of identical prime factors What is the Square Root of 1764 How to Calculate Square Root of 1764 using Prime Factorization and Long Division Method FAQs Tricks Solved Examples and more
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Ex 5 3 4 Find The Square Root Of 1764 By Prime Factorization Method
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Square Root by Prime Factorization Example Problems 1 Find the square root of 1764 using the prime factorization method Solution Step 1 The given number is resolved into its prime factors How to simplify square root of 1764 In order to simplify square root of 1764 by using prime factorization you follow these steps Find prime factors of 1764 Group the factors in 2 in such a way that each number of the group is same Take one factor from each group
There are several methods to find the square root of 1764 Prime Factorization Method Express 1764 as a product of its prime factors 2 3 7 and then take the square root of each prime factor The result is 2 3 7 42 Estimation Method Approximate the square root of 1764 by considering perfect squares near it Find the square root of 1764 by the prime factorisation method Open in App Solution Verified by Toppr 1764 2 2 3 3 7 7 1764 2 3 7 42 Was this answer helpful
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root of 1764 by using prime factorization - Take Any Square Root by Hand Easy to Learn This is a step by step video tutorial on How to Find the Square Root of 1764 Square Root of 1764 Square Root by Prime