Question

10. Prove the
√2
x's
an
irrational number.​

Answer 1

Answer: The Proof

√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.

Hope it Helps.........