SOLUTION: simplify the square root of 5/the square root of 5 + 2

Algebra ->  Radicals -> SOLUTION: simplify the square root of 5/the square root of 5 + 2      Log On


   

Question 194523: simplify
the square root of 5/the square root of 5 + 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
the square root of 5/the square root of 5 + 2
------------
sqrt(5)/[sqrt(5)+2)]
Multiply numerator and denominator by sqrt(5)-2 to get:
-----------------------
[sqrt(5)*(sqrt(5)-2)]/[5-4]
= (5 -2sqrt(5)
====================
Cheers,
Stan H.