Question

prove that 2 is rational​

Answer 1

Step-by-step explanation:

Euclid's proof starts with the assumption that √2 is equal to a rational number p/q.

√2=p/q. Squaring both sides,

2=p²/q² The equation can be rewritten as.

2q²=p² From this equation, we know p² must be even (since it is 2 multiplied by some number). ...

2q²=p²=(2m)²=4m² or. ...

q²=2m² ...

√2=p/q=2m/2n. ...

√2=m/n.

Answer 2

$\huge \bold{Rational \: number \: should \: be \: in \: the \: form \: of \: \frac{p}{q} .}$

$2 \: is \: in \: the \: form \: of \: \frac{2}{1}$

Therefore, It's a rational number.