Question

5√3irrational no prove

Answer 1

Yes, it is an irrational number

Answer 2

According to given sum,

let us assume that 5root3 is an rational number.

let it be in the form of p/q where p & q are co primes.

$5 \sqrt{3 } = \frac{p}{q}$

$\sqrt{3} = \frac{p}{5q}$

LHS is root3 which is an irrational number but RHS is a rational number.

so this contradicts that root3 is a rational number.

Hence root3 is a irrational number.

:-)hope it helps u.