# Can we show this surd is less than $6$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Write down the square of $\sqrt{a}+b\sqrt{c}$ in the form $p+q\sqrt{r}$.
Without evaluating square roots or using tables [or calculators], show that $\sqrt{10}+2\sqrt{2}$ is less than $6$.