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

1 Answer
Apr 17, 2018

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)