1.

Find the RF of the following irrational numbers 1)3-√3

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Answer:

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

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.



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