Question

Example 9 : Prove that ✓3 is irrational.​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation: let us suppose √3 is rational

√3=p/q

(√3)2= p2/q2

3=p2/q2

P2=3q2

3/p2

3/p........(1)

Put p=3m

(3m)=3q

(3m)2=3q2

9m2=3q2

9m2/3=q2

3m2=q2

3/q2

3/q........(2)

By (1)&(2) it is contradict so our supposination is wrong √3 is irrational.