SOLUTION: Hi could someone please help me, I have an Expression that needs rationalizing by taking the conjugate:
3√10/6-8√3
it says the answer is -3√10-4√30/26 B
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Question 558608: Hi could someone please help me, I have an Expression that needs rationalizing by taking the conjugate:
3√10/6-8√3
it says the answer is -3√10-4√30/26 But I got nothing like this, here is what I tried:
I multiplied the top and bottom by the conjugate of the denominator 6-8√3, which I thought was 6+8√3.
So I did this:
3√10/ *6+8√3 = 18√10+8√3*3√10/
6-8√3 *6+8√3 36-64*3
Obviously this is not even close to the correct answer, could someone please explain to me all the steps I need to do and where I am going wrong.
Many Thanks Jim.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3√10/6-8√3
it says the answer is -3√10-4√30/26 But I got nothing like this, here is what I tried:
I multiplied the top and bottom by the conjugate of the denominator 6-8√3, which I thought was 6+8√3.
So I did this:
3√10/ *6+8√3 = 18√10+8√3*3√10/6 = (18sqrt(10) + 24sqrt(30))/6
= (3sqrt(10)+4sqrt(30)
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6-8√3 *6+8√3 = 36-64*3 = 36 - 192 = -156
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Your symbols cause too much confusion.
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