How do you find a perfect square and simplify #sqrt(50)#?

1 Answer
Alan P.
Apr 8, 2015

Factor #50# and look for terms that show up an even number of times (a pair of such terms form a perfect square)>

#50#
#=2xx 25#
#=2xx5 xx5#
no further factorization is possible

#5xx5# form a perfect square (#25#)

#sqrt(50)# can be written as #sqrt(25)*sqrt(2)#
#= 5sqrt(2)#

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