SOLUTION: Hello. I am having a real \hard time with rationalizing so I hope you can help. My problem is this:
5√5-3√3
-------
Algebra ->
Radicals
-> SOLUTION: Hello. I am having a real \hard time with rationalizing so I hope you can help. My problem is this:
5√5-3√3
-------
Log On
Question 991482: Hello. I am having a real \hard time with rationalizing so I hope you can help. My problem is this:
5√5-3√3
------- 4√5+2√3
Do I need to multiply by the same conjugated denominator? would it be Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! you are correct
***************************************
(5sqrt(5) - 3sqrt(3)) / (4sqrt(5) + 2sqrt(3))
multiply denominator and numerator by (4sqrt(5) - 2sqrt(3))
((5sqrt(5) - 3sqrt(3)) * (4sqrt(5) - 2sqrt(3))) / (16*5 - 4*3) =
(20*5 -22sqrt(15) +6*3) / 68 =
(118 - 22sqrt(15)) / 68 =
2(59 - 11sqrt(15)) /68 =
(59 - 11sqrt(15)) / 34
