Find the difference: sqrt20-sqrt80

-2sqrt5

Step-by-step explanation:

Lets begin by simplifying the radicals.

20 can be factored into 4*5, and since 4 is a perfect square, we can take out a 2.

therefore:

sqrt20 = 2sqrt5

80 can be factored into 16*5, and since 16 is a perfect square, we can take out a 4

therefore:

sqrt80 = 4sqrt5

So finally we have, 2sqrt5-4sqrt5 = - 2sqrt5