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What is the square root of 7744?

1 Answer

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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