How do you simplify #sqrt(75)#?

2 Answers
May 20, 2018

Answer:

#sqrt(75)=5sqrt(3)#

Explanation:

#sqrt(75)=sqrt(5^2 * 3) =sqrt(5^2) * sqrt(7)=5 * sqrt(7)#

May 20, 2018

Answer:

#5sqrt3#

Explanation:

We can simplify radicals using square numbers.

Start by listing the factors:

#75 and 1#
#25 and 3#
#15 and 5#

#25# is a squared number, so we can use #25# and #3#

#rArr sqrt25 xx sqrt3#

#sqrt25# can be simplified:

#sqrt25=5#

#therefore# #rArr 5sqrt3#