Question

prove that root 3 is irrational​

Answer 1

Answer:

Let root3 an rational no .

root 3 = p/q (p and q are co prime integers where q is not equal to 0)

Squaring both sides

3 = p^2 /q^2

p^2 = 3q^2

p^2 is divisible by 3

p is divisible by 3 -equation 1st

let c some integer

p=3c

Squaring both sides

p^2 = 9c^2

3q^2 = 9c^2 (FROM EQUATION IST )

q^2 = 3c^2

q^2 is divisible by 3

q is divisible by 3

P and Q both have commom factor 3

but p and q are co prime integers that we assume

So our assumption is wrong

Hence root3 is an irrational no.

Hope you understand .

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Answer 2

Answer:

This is the answer for your question

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