Add $2 \sqrt{2}+5 \sqrt{3}$ and $\sqrt{2}-3 \sqrt{3}$
$3 \sqrt{2}+2 \sqrt{3}$
$2 \sqrt{3}+3 \sqrt{2}$
$2 \sqrt{2}+2 \sqrt{2}$
$3 \sqrt{3}+3 \sqrt{3}$
Find an irrational number between $\frac {1}{7}$ and $\frac {2}{7}$
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $\frac{1}{17}$ ?
Rationalise the denominator of $\frac{5}{\sqrt{3}-\sqrt{5}}$.
Show how $\sqrt 5$ can be represented on the number line.
Visualise $3.765$ on the number line, using successive magnification.