show that √2 is irrational
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Let √2 is a rational number which can be express as in the p/q form.
So we can write,
√2=p/q
(√2)²=(p/q)²
2=p²/q²
p²/q²=2
p²=2q²
Even p² is a positive number
let, p=2m
p²=(2m)²
p²=4m²
So, 2q²=4m²
Hence, q²=2m²
Hope it help you...!!
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