How do you find the square root of 5929?

1 Answer
George C.
Sep 8, 2015

Factor into primes to find:

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

So sqrt(5929) = 77

Explanation:

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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