exam Maths Puzzle Numerical Ability

Same thing with this one can someone find the exact value of tan 15 degree without using tables or a calculator. please show work.

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exam Other Question

Please help me with this problem I am about to pull my hair out.

Suppose that a polynomial function of degree 4 with rational coefficients has -1,0, and 2-3i as zeros. What is the remaining zero? Looking to verify adding (or subtracting) logarithms to a single logarithm. I have: "log 5 250 - log 5 10". I believe that if they are the same base, you can simply substract the 250 from 10 to equal 240 (e.g. log 5 240). Right? Thanks in advance.