SOLUTION: The area of a rectangle is √125 cm squared The length is (2+√5) Calculate the width of the rectangle giving your answer in the form a+b√5 where a and b are inte

Algebra ->  Rectangles -> SOLUTION: The area of a rectangle is √125 cm squared The length is (2+√5) Calculate the width of the rectangle giving your answer in the form a+b√5 where a and b are inte      Log On


   

Question 1050840: The area of a rectangle is √125 cm squared
The length is (2+√5)
Calculate the width of the rectangle giving your answer in the form a+b√5 where a and b are integers
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is √125 cm squared
The length is (2+√5)
Calculate the width of the rectangle giving your answer in the form a+b√5 where a and b are integers
----------
W = sqrt%28125%29%2F%282+%2B+sqrt%285%29%29
Multiply NUM and DEN by the conjugate of the DEN
W =
W = sqrt%28125%29%2A%282+-+sqrt%285%29%29%2F%28-1%29%29
W = -sqrt%28125%29%2A%282+-+sqrt%285%29%29
W = -2sqrt%28125%29+%2B+sqrt%28625%29%29
W = 25+-+10sqrt%285%29