SOLUTION: How do I rationalize a radical denominator consisting of three terms, ie:
1/{1+ sqrt(3)- sqrt(5)}
If it was two terms I would use the conjugate but with three......?
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1/{1+ sqrt(3)- sqrt(5)}
If it was two terms I would use the conjugate but with three......?
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Question 394896: How do I rationalize a radical denominator consisting of three terms, ie:
1/{1+ sqrt(3)- sqrt(5)}
If it was two terms I would use the conjugate but with three......? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! 1/(1+sqrt(3)-sqrt(5)) * (1+sqrt(3)+sqrt(5))/ (1+sqrt(3)+sqrt(5))
= (1+sqrt(3)+sqrt(5)) / (2sqrt(3)-1)
Now you can use the conjugate to get the answer which is:
((2sqrt(3)+1)*sqrt(5)+3sqrt(3)+7)/11
.
Ed
