SOLUTION: I trying to rationalize the denominator but I am having a hard time because there is 2-3 then the radical 11 Please help I know that I multiply the conjuate but from there I am stu

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Question 218339: I trying to rationalize the denominator but I am having a hard time because there is 2-3 then the radical 11 Please help I know that I multiply the conjuate but from there I am stuck. Thank you

5
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2-3 radical 11
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%282-3%2Asqrt%2811%29%29 Start with the given expression.


Multiply both the numerator and denominator by the conjugate of the denominator.


%285%282%2B3%2Asqrt%2811%29%29%29%2F%284-9%2A11%29 FOIL the denominator.


%285%2A2%2B5%2A3%2Asqrt%2811%29%29%2F%284-9%2A11%29 Distribute.


%2810%2B15%2Asqrt%2811%29%29%2F%284-99%29 Multiply.


%2810%2B15%2Asqrt%2811%29%29%2F%28-95%29 Combine like terms.


%28-2-3%2Asqrt%2811%29%29%2F%2819%29 Reduce.



So 5%2F%282-3%2Asqrt%2811%29%29=%28-2-3%2Asqrt%2811%29%29%2F%2819%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I trying to rationalize the denominator but I am having a hard time because there is 2-3 then the radical 11 Please help I know that I multiply the conjuate but from there I am stuck. Thank you
5
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2-3sqrt(11)
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Multiply numerator and denominator by the conjugate to get:
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[5(2-3sqrt(11)]/[(2-3sqrt(11))(2+3sqrt(11)]
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= (10-15sqrt(11)/(4-9*11)
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= (2 - 3sqrt(11))/(-19)
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Cheers,
Stan H.