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Step-by-step explanation:
Let us assume that √5 is a rational
Then, √5 = p/q
squaring on both sides
5 = p²/q²
Let P = 5c
5 = 25c²/q²
q²/c² = 25/5
q/c = √5 -----(1)
From ------(1)
q/c is a rational
√5 is also rational
but this contradicts the fact that √5 is a irrational number. so, our assumption was wrong. Hence, √5 is a irrational number
Hope this helped.
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