Question

prove that 3-√3 is irrational​

Answer 1

Answer:

Therefore there exists no rational number r such that r2=3. Hence the root of 3 is an irrational number.

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Thank you.

Answer 2

Step-by-step explanation:

Therefore there exists no rational number r such that r2=3. Hence the root of 3 is an irrational number.

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Thank you

Let us assume that 3−

3

is a rational number

Then. there exist coprime integers p, q,q



=0 such that

3−

3

=

q

p

=>

3

=3−

q

p

Here, 3−

q

p

is a rational number, but

3

1. is an irrational number.

But, an irrational cannot be equal to a rational number.This is a contradiction.

Thus, our assumption is wrong.

Therefore 3−

3

is an irrational number