Question

Show that 5 _ root 3 is irrational. ​

Answer 1

5√3 and √3 is an irrational no. so anything multiplied with it is also irrational...

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Answer 2

If possible let 5-√3is rational no. equal to A/B.

So,

5-√3=A/B

√3=5-A/B

But, √3 is an irrational no.

So, we arrive at a contradiction.

So, our supposition is wrong.

So 5-√3 is an irrational no.