Question

Work out 9 sin 60°- 5/√3 Give you answer in the form a/b√3 where a and b are integers b​

Answer 1

17/6√3

Explanation:

You want the simplified form of 9·sin(60°) -5/√3.

Simplify

`9\sin(60^\circ)-(5)/(√(3))=9\cdot(√(3))/(2)-(5√(3))/(√(3)\cdot√(3))= (3\cdot9√(3))/(3\cdot2)-(2\cdot5√(3))/(2\cdot3)\\\\=((27-10)√(3))/(6)=\boxed{(17)/(6)√(3)}`