Question

Show that 11root2 is irrational

Answer 1

Answer:

Because we cannot express this equations in p/q form

Step-by-step explanation:

Answer 2

Answer:

$let \: be \: assume \: that \: 11 \sqrt{2} \: is \: a \\ \: rational \: number. \\ therefore \: it \: can \: be \: written \: in \: \\ the \: form \: of \: \frac{a}{b} \\ 11 \sqrt{2} = \frac{a}{b} \\ \sqrt{2} = \frac{a}{b } - 11 \\ \sqrt{2} = \frac{a - 11b}{b} \\ \frac{a - 11b}{b} \: is \: a \: rational \: number \: \\ therefore \: \sqrt{2} \: is \: also \: a \: rational \: \\ number \: but \: it \: is \: contradict \\ that \: \sqrt{2 \: } \: is \: irrational \: therefore \\ our \: assumption \: is \: wrong \: and \: \\ 11 \sqrt{2} \: is \: a n \: irrational \: number.$

hope it helps ☺️