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Q: What is the prime factorization of square root of 3600?

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sqrt(48) = 4*sqrt(3).

2 x 2 x 5 = 20

2 x 5 x 5 = 50

2 x 2 x 2 x 2 x 29 x 29 = 13456 2 x 2 x 29 = 116, the square root

Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.

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The square root of 729 is 27 and as a product of its prime factors in exponents it is 36

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37 x 37 = 1369 The square root is 37.

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60 is the square root of 3,600.60

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