Question

* Prove that √2 is irrational,
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Answer 1

irrational number mean non terminating and non repeating number.

so, ✓2 = 1.41421

therefore √2 is a irrational number.

Answer 2

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.