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.

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
48468 views around the world
You can reuse this answer
Creative Commons License