Question

prove √2 is irrational​

Answer 1

Answer:

Euclid proved that √2 (the square root of 2) is an irrational number. The proof was by contradiction. In a proof by contradiction, the contrary is assumed to be true at the start of the proof. After logical reasoning at each step, the assumption is shown not to be true.

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

Answer 2

Answer:

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