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Find the square root of 4624 by prime factorisation?
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Find the square root of 4624 by prime factorisation?



Prime Factorisation of 4624 to Find the Square Root


  1. Step 1: Prime Factorisation of 4624


To find the square root of 4624 by prime factorisation, we first need to factorize the number into its prime factors.
4624 can be written as 2^4 * 7^2.


  1. Step 2: Pairing the Prime Factors


Next, we pair the prime factors in such a way that each pair consists of the same prime factor.
In this case, we pair two 2s and one 7 together.


  1. Step 3: Taking Out the Pair Factors


Taking out the paired factors, we get the square root of 4624 as 2^2 * 7 = 44.
Hence, the square root of 4624 by prime factorisation is 44.
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Find the square root of 4624 by prime factorisation?
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