Hello again.
I am looking at the XAM practice book for the math CSET, which I hope
to take in July. In it is the following problem:
[6 + 2sqrt(3)] / [4 - sqrt(6)] (sorry if I have gotten the conventions
wrong).
When I solve this problem by multiplying numerator and denominator by
the conjugate of [4 - sqrt(6)] = [4 + sqrt(6)], I get
[6 + 2sqrt(3)] x [4 + sqrt(6)] / [4 - sqrt(6)] x [4 + sqrt(6)] =
24 + 8sqrt(3) + 2sqrt(18) + 6sqrt(6) / 16 - 6 =
24 + 8sqrt(3) + 6sqrt(2) + 6sqrt(6) / 10 =
12 + 4sqrt(3) + 3sqrt(2) + 3sqrt(6) / 5 = 6.10386
The book's answer is:
-3sqrt(2) -9sqrt(3) -3sqrt(6) - 12 = -39.179
Can someone confirm to me that the book's answer is wrong? Or, if the
book's answer is right and I am wrong, can someone point out where I
made my mistake?
(hopefully it won't be as humbling as realizing that 27-12 doesn't =
25 rofl).
Thanks,
Henry Sun
Benicia, CA
