How do you simplify 5√80−12√5? Algebra Radicals and Geometry Connections Addition and Subtraction of Radicals 1 Answer Ricardo A. Aug 14, 2016 8√5 Explanation: √80=√4⋅4⋅5 Notice that there are two 4s in there, so, since it is a square root we can write that same thing as 4√5 so the equation now becomes: 5⋅(4√5)−12√5 5⋅4=20 so 20√5−12√5 From here we can treat √5 as x like: 20x−12x=8x so, 20√5−12√5=8√5 Answer link Related questions How do you add and subtract radicals? How is a radical considered a "like term"? How do you simplify 4√3+2√12? How do you add 33√2+53√16? How do you subtract √8x3−4x√98x? How do you combine the radical √6−√27+2√54+3√48? How do you simplify 3√16x5135y4? What is √50−√18? How do you add 3√2+4√2? What is the square root of 50 + the square root of 8? See all questions in Addition and Subtraction of Radicals Impact of this question 1607 views around the world You can reuse this answer Creative Commons License