How do you simplify # 3 sqrt 2 + 2sqrt3#?

2 Answers
Sonnhard
May 21, 2018

#sqrt(6*(5+2*sqrt(6)))#

Explanation:

Squaring both sides we get
#18+12+12*sqrt(6)=30+12*sqrt(6)#

Dean R.
May 21, 2018

Once all the square factors are pulled out if we're left with different radicals like here the terms don't "mix." So what we're given is arguably as simple as it's going to be:

#3 sqrt{2} + 2 sqrt{3}#

Related questions
See all questions in Addition and Subtraction of Radicals
Impact of this question
3072 views around the world
You can reuse this answer
Creative Commons License