what is the square root of 729 by prime factorization method

what is the square root of 729 by prime factorization method Since 729 is a perfect square the square root of 729 can be determined using the prime factorisation method long division method simplified method and repeated subtraction method The exponential form of the square root of 729 is

Transcript Ex 5 3 4 Find the square roots of the following numbers by the Prime Factorization Method i 729We use prime factorization to find square root Thus 729 3 3 3 3 3 3 Square root of 729 3 3 3 9 3 27 Show More To find the square root of 729 We can use prime factorization method to obtain one number from each pair of the same numbers and multiply them The prime factorization of 729 is 3 3 3 3 3 3 which consists of 3 pairs of the same number 3 3 x 3 Thus the square root of 729 9 3 27

what is the square root of 729 by prime factorization method

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what is the square root of 729 by prime factorization method
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How To Find Cube Root Of 729 Finding Cube Root By Prime Factorization
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Find The Cube Root Of 729 By Prime Factorisation Brainly in
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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 The square root of 729 is 729 27 The square root of 729 in exponential form is written as 729 1 2 The square root of 729 in radical form is written as 729 The square root of 729 can be found by using the prime factorization method long division method and repeated subtraction method

Solution Verified by Toppr 729 3 3 3 3 3 3729 36 729 33 729 27 Was this answer helpful 1 Similar Questions Q 1 Find the square roots of the following numbers by the Prime Factorisation method 7294004096 View Solution Q 2 Find the square root of a number 8100 by Prime Factorisation Method View Solution Q 3 There are several methods to find the value of the square root of 729 Prime Factorization Method Express 729 as the product of its prime factors 3 Since the square root of a number involves taking one half of the exponent of each prime factor the square root of 3 is 3 3 27

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Express iii 729 64 As Product Of Prime Factors In Exponential Form
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729 3 x 3 x 3 x 3 x 3 x 3 So square root of 729 can be written as sqrt 729 sqrt 3 times 3 times 3 times 3 times 3 times 3 sqrt 3 2 times 3 2 times 3 2 3 times 3 times 3 27 Find the square root of the number 729 by the prime factorisation method Easy Solution Verified by Toppr Correct option is A 729 3 3 3 3 3 3 729 3 6 729 3 3 729 27 Was this answer helpful 0 Similar questions Find the square root of the following number by the prime factorisation method 4356 Medium View solution

As a simple example below is the prime factorization of 820 using trial division 820 2 410 410 2 205 Since 205 is no longer divisible by 2 test the next integers 205 cannot be evenly divided by 3 4 is not a prime number Prime Factorization by the Ladder Method 729 is divisible by 3 729 3 243 243 is divisible by 3 243 3 81 81 is divisible by 3 81 3 27 27 is divisible by 3 27 3 9 9 is divisible by 3 9 3 3 3 is a prime number Prime Factorization of 729 729 3 x 3 x 3 x 3 x 3 x 3 Prime Factorization of 729 in Exponential Form 729 3 6

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what is the square root of 729 by prime factorization method - Step 6 Divide 3 by 3 3 text div text 3 text text 1 Thus we get 1 at the end of this division method and we can t go on with the division approach Hence the prime factorization of 729 is 3 times 3 times 3 times 3 times 3 times 3 or 3 6 where 3 is a prime number