# How do you find the square root of 5929?

Factor into primes to find:

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##5929 = 7 * 7 * 11 * 11 = (7*11)^2 = 77^2##

So ##sqrt(5929) = 77##

Let’s look for prime factors:

##2## – No – it’s not even.
##3## – No – the digits don’t add up to a multiple of ##3##.
##5## – No – it doesn’t end with ##5## or ##0##.
##7## – Yes:

##5929 = 7 * 847 = 7 * 7 * 121 = 7 * 7 * 11 * 11 = (7*11)^2 = 77^2##

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