How do you simplify #sqrt5 + 3sqrt7 - 4sqrt5 - 5sqrt7#?

1 Answer
Jul 28, 2018

Answer:

#-3sqrt5-2sqrt7#

Explanation:

We can rewrite this as

#color(steelblue)(sqrt5-4sqrt5)+color(purple)(3sqrt7-5sqrt7)#

We can factor a #sqrt5# out of the blue terms and a #sqrt7# out of the purple terms. We now have

#color(steelblue)((1-4)sqrt5)-color(purple)((3-5)sqrt7)#

#color(steelblue)(-3sqrt5)color(purple)(-2sqrt7)#

Hope this helps!