The best thing I could think to do here is multiple the numerator and denominator by the conjugate radical sqrt(x^2 + x + 1) - x. But that will lead to a 0 in the denominator once x is factored out. Ialso tried breaking up the quadratic under the radical into factored form, but it has no solutions. Can someone give me a hint?

- stapel_eliz
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jsel wrote:

The best thing I could think to do here is multiple the numerator and denominator by the conjugate radical sqrt(x^2 + x + 1) - x. But that will lead to a 0 in the denominator....

Not actually.

Since and since will be (very, very) negative, then the square root will "simplify" to .

Where would this lead?

Got it, thanks. I forgot about that property when taking the square root of x^2

- stapel_eliz
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