SOLUTION: Simplify: 4 + square root of 2 ___________ ________ 3- 2 square root of 2 Note: Our teacher did not get it from a text book

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify: 4 + square root of 2 ___________ ________ 3- 2 square root of 2 Note: Our teacher did not get it from a text book      Log On


   



Question 50220: Simplify:
4 + square root of 2
____________________
3- 2 square root of 2
Note: Our teacher did not get it from a text book

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(4 + sqrt 2)/(3- 2 sqrt 2)
Multiply numerator and denominator by (3+2sqrt2) to get:
[(4+sqrt2)(3+2sqrt2)]/[9-4(2)]
[12+11sqrt2+4]/[1]
[16+11sqrt2]
Cheers,
Stan H.