between 2.9 and 3.0

between 2.8 and 2.9

between 2.7 and 2.8

between 2.6 and 2.7

You can compare irrational numbers using rational approximation.

Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol.

You cannot compare the value of rational and irrational numbers.

The closer together the numbers being compared, the more decimal places you need to use.

All irrational numbers have some repeating pattern which can be used to compare them to rational numbers.

64 pieces of wood

$64^2$ pieces of wood

8 pieces of wood

$8^2$ pieces of wood

 $x=22^3$  

 $x=^3\sqrt{22}$ 

 $x=\pm^3\sqrt{22}$  

 $x=\sqrt{22}$