Math, asked by rakshitha8647, 10 months ago

prove that 3 is irrational​

Answers

Answered by rajesh0917007474465
1

Answer:

by contradiction you can prove see image

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Answered by lenin100
0

Answer:

le us assume that √3 is rational

√3=p/q, where p and q are vo prime

squaring both sides

3=p2/q2

3q2=p2

q2=p2/3

=>p2 is divisible by 3

=>p is divisible by 3

p=3c

q2=(3c) 2/3

q2=9c2/3

q2=3c2

c2=q2/3

=>q2 is divisible by 3

=>q is divisible by 3

=> p and q have a common factor

this contradict our assumption

therefore, √3 is irrational

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