Additional Math – Surds – Circles – Find the unknown integer a and b

$latex \displaystyle \sqrt{{a+b\sqrt{3}}}=\frac{{13}}{{4+\sqrt{3}}}$ Square both sides of the equation. $latex \displaystyle {{\left[ {\sqrt{{a+b\sqrt{3}}}} \right]}^{2}}={{\left[ {\frac{{13}}{{4+\sqrt{3}}}} \right]}^{2}}$ Expand and simplify the [...]