Math, asked by piku6645, 11 months ago

prove that √5 is a irretional number.​

Answers

Answered by AaminAftab21
2

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Answered by pooja0901kumari
0

Answer:

Let, √5 is a rational number

√5 = p/q [ where p& q are coprime numbers and q is not is equal to 0 ]

squaring both sides

(√5)^2 = (p/q)^2

5 = p^2/q^2

q^2 = p^2/5-----------eq.1

since, p^2 is divisible by 5

therefore, p is also divisible by 5

putting p=5r in eq.1

then, r^2 = q^2/5

therefore q is also divisible by 5

from eq. 1&2 the common factor of p&q is 5 other than 1 so, it is contradiction our assumption is wrong

√5 is an irrational number

H.P

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