How do you simplify #(-4+- sqrt 28)/7#?

Question

1371 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-04T01:53:53

#-4/7+-(2sqrt7)/7#

Ideally, we want to start by factoring out a perfect square from the radical. We can rewrite #sqrt28# as

#sqrt(4*7)=2sqrt7#

With this, we now have

#(-4+-2sqrt7)/7#

Since none of the terms have common factors other than one, this is the most simplified we can get this expression.

Alternatively, we can separate the operations in the following way:

#-4/7+-(2sqrt7)/7#

Hope this helps!