3.16: Express a surd expression in the form a+bca+b\sqrt{c}

0606/11/M/J/22 — Question 1 · 3 marks

Find constants aa, bb and cc such that
pqrp+q3r=abc1r\sqrt{\frac{pq}{r}}-\sqrt{\frac{p+q}{3r}}=a\sqrt{b}-c\sqrt{\frac{1}{r}}
(Use the printed paper form; accept the equivalent simplified constants from the mark scheme.)
[3]