How do you simplify #3sqrt8#?

1 Answer
McKenzie · NJ · Serena D.
Mar 22, 2018

#6sqrt2#

Explanation:

The square root of #8# is like the square root of #4# times #2#.

#3sqrt(8) = 3sqrt(4xx2)#

The square root of #4# is #2# so you multiply #3# by #2# and leave the other #2# in the square root.

#3sqrt(4xx2) = 3xx2sqrt(2)#

You are then left with #6# times the square root of #2#.

#6sqrt2#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
3752 views around the world
You can reuse this answer
Creative Commons License