1.1: Simplify a surd expression

4PM1/1/June/2022 — Question 1 · 3 marks

Given that
23−433+5=a+b3,\frac{2\sqrt{3}-4}{3\sqrt{3}+5}=a+b\sqrt{3},
where a\displaystyle a and b\displaystyle b are integers, find, without using a calculator, the value of a\displaystyle a and the value of b\displaystyle b.
Show your working clearly.
(3)