simplified radical form?

Question

Sqrt (10+8)
____________
(-5) Sqrt (10+1)

4 minutes ago
now I think I see what you are saying:

Sqrt 10 (+8) ouside the Sqrt and
-5 (in front of Sqrt) Sqrt 10 (+1)

SQRT 10 + 8
--------------------
-5....SQRT 10 +1

Answer 1

To get rid of the radical, multiply top and bottom by the bottom:

Sqrt (10+8)
____________ = Sqrt(18)/ -5Sqrt(11)
(-5) Sqrt (10+1)


Sqrt(18) Sqrt(11)
________ * _________ This is legal as you are multiplying by 1
-5Sqrt(11) Sqrt (11)


Sqrt(18) * Sqrt(11)
_______________
-5(Sqrt11)^2

Sqrt(198)
________
-55