SOLUTION: The Sum of (3-the square root of 5) + (2-the square root of 45). We just where introduced to imagnary numbers but i wasnt sure if those symbols came into play here

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The Sum of (3-the square root of 5) + (2-the square root of 45). We just where introduced to imagnary numbers but i wasnt sure if those symbols came into play here      Log On


   



Question 292130: The Sum of (3-the square root of 5) + (2-the square root of 45). We just where introduced to imagnary numbers but i wasnt sure if those symbols came into play here
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The Sum of (3-the square root of 5) + (2-the square root of 45).
:
%283-sqrt%285%29%29+%2B+%282-sqrt%2845%29%29
:
Factor 45 inside the radical to reveal a perfect square
%283-sqrt%285%29%29+%2B+%282-sqrt%289%2A5%29%29
:
Extract the 3
%283-sqrt%285%29%29+%2B+%282-3sqrt%285%29%29
;
group like terms
3+%2B+2+-sqrt%285%29+-+3sqrt%285%29
:
5+-+4sqrt%285%29