What is the square root of 7744?

1 Answer
George C.
Sep 18, 2015

sqrt(7744) = 88

Explanation:

Find prime factors of 7744:

7744 = 2 * 3872 = 2^2 * 1936 = 2^3 * 968 = 2^4 * 484

= 2^5 * 242 = 2^6 * 121 = 2^6 * 11 * 11

= (2^3 * 11) * (2^3 * 11) = (2^3 * 11)^2 = 88^2

So sqrt(7744) = 88

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