Question

Multiply
(5√2-15√5)(4√2+12√5)
I got
(√27+√230)(√18+√149)
√486+√4023+√4140+√34,270
Is this the final answer or can it be simplified.

Answer 1

if they do not have a common radical then yes it is.

Answer 2

\[(5\sqrt{2}-15\sqrt{5})(4\sqrt{2}+12\sqrt{5})=40+60\sqrt{10}-60\sqrt{10}-900=-860\]