Question

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Answer 1

Hey mate your answer is in the given attachment

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Answer 2

Answer:

latest suppose that root 5 is rational number in the form of p divided by q in such that p and q are coprime integers and q is not equal to zero

Step-by-step explanation:

√5 = P/q

By squaring on both sides 5=p²/q²

5q² = p²

Thus , 5 is a factor of p².

So 5 is a factor of P also__---------(1)

Now Let

p= 5m

Squaring on both sides

p2=25m²

5q²=25m²

Thus , q²= 5m² now 5 is a factor of Q square therefore it is a factor of Q also .............(2)

From (1) and (2)

5 is a factor of both p and q but according to a reception P and Q were coprime integers therefore are assumptions contradicted and root 5 is irrational