Question

answer this plz...its urgent..​

Answer 1

Let 1/√3+3 be a rational number equal to x

x = 1/√3+3

1/x = √3+3

1/x-3 = √3

Here x is a rational number.

So, 1/x is also a rational number.

Then, 1/x-3 is also a rational number.

And finally, √3 is also a rational number.

But √3 is an irrational number which cannot be written in p/q form.

This contradicts our supposition that √3 is a rational number.

Thus, √3 is an irrational number.

Similarly, You prove the others.

I hope you will understand it well.