How do you factor and simplify the square root of 75?

1 Answer
Pris
Apr 7, 2015

We have to first find the largest square factor in the number that you are square rooting.

#75=25# x #3#

#25# is a square number! #25=5^2#

#sqrt75#=#sqrt25# x #sqrt3#

#sqrt75#= #5# x #sqrt3# = #5##sqrt3#

3 is a prime number and does not have any factors and thus the square root of 3 cannot be simplified further.

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