Question

prove that 5root3 is an irrational number
$5 \sqrt{3}$
prove that it is an irrational number ​

Answer 1

Answer:

To prove:- 5√3 is irrational

Solution:-

We know 5 is rational

also we know √3 is Irrational

as it's decimal expansion leads to non terminating,1.73

also

a rational number× irrational number

=irrational

here

5 is multiplied with √3

and if two different (rational and Irrational) numbers are multiplied,then their product will be irrational

Hence,proved it's irrational

Hope it helps