Homework Help: Algebra 2/Trig

Posted by Raelyn on Tuesday, January 8, 2013 at 7:33pm.

I've done every other single question besides this one. (There was 12). I'm stumped and would really appreciate some help!
I have to simplify this:
5/3sqrt(3-4)

I am not sure if you have to conjugate the denominator and multiply it with the top and bottom, then simplify from there or if the 3-4 equals -1 and you end up with i, an imaginary number in the radical. If so, I really do not understand what I would do from there. Please help!

Algebra 2/Trig - majesty, Tuesday, January 8, 2013 at 7:40pm
you have to multiply the top by the bottom then conjugate the number you get with the mean
Algebra 2/Trig - Reiny, Tuesday, January 8, 2013 at 7:40pm
So your question is really:
5/(3√-1)

If you want to make the denominator real, or to "realize" the denominator, then ....

= 5/(3√-1) * (√-1/√-1)
= 5√-1/-3
= -5√-1/3 or -5i/3

Unless there were other imaginary numbers in the rest of your questions, I suspect a typo of sorts here.

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