Question

prove that 5+√3 is irrational numb​

Answer 1

Hey mate,

Assume 5√3 to be Rational .....

therefore it can be written in the form A/B right??

So 5√3=a/b .........

√3=a/5b.......

here a /b is rational also dividing it by 5 it still stays rational that means rhs is rational but look carefully lhs is irrational.....

therefore our contradiction is wrong 5√3 is irrational......

also by logic rational * irrational will be irrational......

Hope it will help you

Answer 2

Hello mate...

Good afternoon....

I hav given ur answer in the attachment..

Hope it will help you....

Thank you...