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#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
12905 views around the world
You can reuse this answer
Creative Commons License