SOLUTION: Solve and show steps: Rationalize the denominator: 2 ______ [6]-[5] Sorry cannot demonstrate the square root sign, it goes with the 6 and 5!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve and show steps: Rationalize the denominator: 2 ______ [6]-[5] Sorry cannot demonstrate the square root sign, it goes with the 6 and 5!       Log On


   

Question 182967: Solve and show steps:
Rationalize the denominator:
2
______
[6]-[5]
Sorry cannot demonstrate the square root sign, it goes with the 6 and 5!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28sqrt%286%29-sqrt%285%29%29+
.
Multiply numerator and denominator by (sqrt(6)-sqrt(5))
.

.
Applying FOIL to the denominator:
.

.
2%28sqrt%286%29%2Bsqrt%285%29%29%2F%28sqrt%2836%29-sqrt%2825%29%29
.
2%28sqrt%286%29%2Bsqrt%285%29%29%2F%286-5%29
2%28sqrt%286%29%2Bsqrt%285%29%29%2F1
2%28sqrt%286%29%2Bsqrt%285%29%29