Alright, buckle up, buttercup. The prime factorization of 13456 is 2^5 * 13 * 41. To find the square root, you pair up the factors and take one of each pair out. So the square root of 13456 is 2^2 * 13 * 41, which simplifies to 52√13. Hope that clears things up for you!
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2 x 5 x 5 = 50
sqrt(48) = 4*sqrt(3).
2 x 2 x 5 = 20
2 x 2 x 3 x 5 = 60
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.