The prime factorization of 7744 is: 2^6 * 11^2
The square root of any number raised to a power is:(xn)1/2 .... which results in xn/2
So to find the square root of 7744 we take 2^6/2 * 11^2/2 which is 2^3 * 11 = 8 * 11 = 88
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88.
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
The square root of 11,025 is 105. The prime factorization of 105 is: 3 x 5 x 7
The prime factorization of 1296 is 2^4 x 3^4. That makes the square root 2^2 x 3^2 or 36, -36
As a product of its prime factors: 3*3*7*7 = 441 Its square root is 21 or as 3*7 as the product of its prime factors