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 \(6\).

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 \(6\).