Math, asked by divyakondepati134, 1 month ago

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Answered by maheshpurohit2004
0

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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