How do you simplify #3sqrt3-sqrt27#?

1 Answer
Alan P.
Mar 21, 2018

#3sqrt(3)-sqrt(27)=color(red)0#

Explanation:

Since
#color(white)("XXX")color(lime)(sqrt(27))=sqrt(3 * 3 * 3) = sqrt(3^2) * sqrt(3) = color(lime)(3sqrt(3))#

Therefore
#color(white)("XXX")3sqrt(3)-color(lime)(sqrt(27))#

#color(white)("XXXXXX")=3sqrt(3) - color(lime)(3sqrt(3))#

#color(white)("XXXXXX")=0#

Related questions
See all questions in Addition and Subtraction of Radicals
Impact of this question
1977 views around the world
You can reuse this answer
Creative Commons License