How do you simplify 3√7 - √28?

1 Answer
Alan P.
Oct 10, 2015

#3sqrt(7)-sqrt(28) = sqrt(7)#

Explanation:

#3sqrt(7) -color(red)(sqrt(28))#
#color(white)("XXX")=3sqrt(7) - color(red)(sqrt(2^2*7))#

#color(white)("XXX")=3sqrt(7) -color(red)(sqrt(2^2)*sqrt(7))#

#color(white)("XXX")=3sqrt(7) - color(red)(2sqrt(7)#

#color(white)("XXX")=sqrt(7)#

Related questions
See all questions in Addition and Subtraction of Radicals
Impact of this question
2542 views around the world
You can reuse this answer
Creative Commons License