Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$

$\frac{1}{\sqrt{3}+\sqrt{2}}$

State whether each of the following statements is true or false

$(-5)^{2}=-25$

Represent $\sqrt{20}$ on the number line.

Insert a rational number and an irrational number between the following:

$0$ and $0.1$

Simplify the following:

$\sqrt{45}-3 \sqrt{20}+4 \sqrt{5}$

Express $0.7 \overline{39}$ in the form $\frac{P}{q} ;$ where $p$ and $q$ are integers and $q \neq 0$