How do you simplify square root of 3x + 3 square root of 3x - 2 square root of 3x - 10?

1 Answer
Oct 8, 2015

#2 * (sqrt(3x) - 5)#

Explanation:

Assuming that your expression looks like this

#sqrt(3x) + 3sqrt(3x) - 2sqrt(3x) - 10#

you can use #sqrt(3x)# as a common factor to get

#sqrt(3x) * (1 + 3 - 2) - 10#

This will be equal to

#2sqrt(3x) - 10#

Finally, use #2# as a common factor to get the simplified form of the expression

#2sqrt(3x) - 10 = color(green)(2 * (sqrt(3x) - 5))#