How do you simplify #sqrt80 + sqrt125 - sqrt45 + 2 sqrt20#?

1 Answer
May 27, 2016

Answer:

#10sqrt5#

Explanation:

Note that each of the values under the square root sign has 5 as a factor. In addition to this, in each case the other factor is a perfect square.

#sqrt(16 xx 5) + sqrt(25 xx 5) - sqrt(9 xx 5) + 2sqrt(4 xx 5)#

# =4sqrt5 + 5sqrt5 - 3sqrt5 + 2 xx 2sqrt5#

Each term is now given in terms of #sqrt5# and can be simplified to give

#10sqrt5#