SOLUTION: I'm suppose to express in simplest radical form, I'm not sure if I'm doing it right(square root of 3 minus square root of 5)(square root of 3 minus square root of 5). (9-25)(9-25)

Algebra ->  Square-cubic-other-roots -> SOLUTION: I'm suppose to express in simplest radical form, I'm not sure if I'm doing it right(square root of 3 minus square root of 5)(square root of 3 minus square root of 5). (9-25)(9-25)      Log On


   

Question 87958This question is from textbook algebra structure and method
: I'm suppose to express in simplest radical form, I'm not sure if I'm doing it right(square root of 3 minus square root of 5)(square root of 3 minus square root of 5).
(9-25)(9-25)=9 squared-2(225)+25 squared
(16)(16)=81-450+625
256=256
I'm very confused!
Please help!! This question is from textbook algebra structure and method

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%283%29-sqrt%285%29%29%28sqrt%283%29-sqrt%285%29%29
%283-+sqrt%283%29sqrt%285%29-sqrt%285%29sqrt%283%29%2B5%29 [use FOIL to multiply; remember that squaring a square root will result in the radicand]
.

%288-+2sqrt%283%29sqrt%285%29%29%29 [combine like-terms if possible]
%288-+2sqrt%283%2A5%29%29%29
%288-+2sqrt%2815%29%29%29