How do I transform this into simple radical form... I have no idea how to do this could you please tell me the logic behind how you do this and step by step thanks

Question

(5^(1/2)-3^(1/2))^2

thanks again

Also can you tell me how to transform this one into radical form also

18^(1/2)-3(50)^(1/2)+5(80)^(1/2)-2(125)^(1/2)

Answer 1

on the first, FOIL it.

on the second
18=9*2
50=25*2
80=16*5
125=25*5
Notice I factored out the squares, this will leave you with two terms, sqrt2, and sqrt5 terms.