A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] where a and b are integers
Otherwise irrational
Note that [tex]\sqrt{8}[/tex], [tex]\sqrt{10}[/tex], [tex]\sqrt{2}[/tex] are all irrational
[tex]\sqrt{}\frac{1}{16}[/tex] = [tex]\frac{1}{4}[/tex] → rational
[tex]\sqrt{}\frac{1}{8}[/tex] → irrational
[tex]\sqrt{}\frac{1}{10}[/tex] → irrational
[tex]\sqrt{}\frac{1}{4}[/tex] = [tex]\frac{1}{2}[/tex] → rational
[tex]\sqrt{}\frac{1}{2}[/tex] → irrational