How do you combine #sqrt80+sqrt45-sqrt20#?

1 Answer
Apr 29, 2018

Answer:

#5sqrt5#

Explanation:

#sqrt80 + sqrt45 - sqrt20#

Simplify:
#sqrt(16 * 5) + sqrt(9 * 5) - sqrt(4 * 5)#

#sqrt16 * sqrt5 + sqrt9 * sqrt5 - sqrt4 * sqrt5#

#4 * sqrt5 + 3 * sqrt5 - 2 * sqrt5#

#4sqrt5 + 3sqrt5 - 2sqrt5#

Since the value inside each of the square root signs are the same, that means we can do: #4 + 3 - 2#, which equals #5#

Therefore the answer is:
#5sqrt5#

Hope this helps!