199k views
1 vote
Find the difference sqrt 20- sqrt 80

User Realtebo
by
8.3k points

1 Answer

5 votes
First you need to reduce each square root. In each case, find the largest perfect square factor under the radical.

in the case of sqrt(20), that boils down to 4*5, so sqrt(20)=sqrt(4)*sqrt(5), or 2sqrt(5).

sqrt(80) = sqrt(16)*sqrt(5) = 4sqrt(5).

Final answer: subtract 4 sqrt(5) from 2 sqrt(5). Can you do this?
User Bartosz Bilicki
by
8.1k points