How do you simplify #sqrt5 - sqrt6 + 3sqrt 5 - 2sqrt6#?

1 Answer
Apr 17, 2018

Answer:

#4\sqrt(5)-3\sqrt(6)#

Explanation:

  1. Identify like terms (color coded).
    #\color(crimson)(\sqrt(5))# #\color(olive)(-\sqrt(6))# + #\color(crimson)(3\sqrt(5))# #\color(olive)(-2\sqrt(6))#

  2. Organize the like terms together.
    #\color(crimson)(\sqrt(5))+\color(crimson)(3\sqrt(5))# + #(\color(olive)(-\sqrt(6)))+(\color(olive)(-2\sqrt6))#

  3. Combine like terms, and your expression has been simplified! :)
    #\color(crimson)(4\sqrt(5))# + #(\color(olive)(-3\sqrt(6)))#
    Answer: #4\sqrt(5)-3\sqrt(6)#