Question

prove thAT root 3 is irratonal

Answer 1

$let \: \sqrt{3} \: be \: irrational \\ \\ \sqrt{3 } = \frac{a}{b } \\ a = \sqrt{3}b \\ \ {a }^{2} = 3 {b}^{2} \: \: \: \: ... .....1 \\ a = \sqrt{3} c \\ {a }^{2} = 3 {c }^{2} .............2 \\ from \: 1 \: and \: 2 \\ 3 {b}^{2} = 3 {c}^{2} \\ {b }^{2} = {c }^{2}$