how we can proof that ROOT2 is an irrational number? please help me solve ??
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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.
I hope this answer helpful for you
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hope it helps......
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Step-by-step explanation:
If √2 could be written as a rational number, the consequence would be absurd. So it is true to say that √2 cannot be written in the form p/q. Hence √2 is not a rational number. Thus, Euclid succeeded in proving that √2 is an Irrational number.
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