Question: All the answers I have given for this question continue to be wrong. My last answer was ((160-40sqrt20-16sqrt3+4sqrt6)(sqrt6-sqrt2+4sqrt3))/97. Before my answers were (111sqrt-2sqrt6)/21 and 4sqrt3.

All the answers I have given for this question continue to be wrong. My last answer was ((160-40sqrt20-16sqrt3+4sqrt6)(sqrt6-sqrt2+4sqrt3))/97. Before my answers were (111sqrt-2sqrt6)/21 and 4sqrt3. But all of these are wrong. I'm not sure how I am solving this wrong. The question and figure is below.

In the figure, triangleABCis a right triangle,CQ=8, andBQ=4. Also,?AQC= 30 and?CQB= 45.Find the length ofAQ. [Hint:First use the Law of Cosines to find expressions fora²,b², andc².] AQ=

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