Question

prove that 2 + 5√3 is an irrational number given that a √3is an irrational no.​

Answer 1

Step-by-step explanation:

HOPE IT HELPS YOU........

Answer 2

Answer:

let 2+5√3 is rational no.

so, 2+5√3 = p/q

5√3 = p/q -2

5√3 = p-2q/q

√3. = p-2q/5q

√3 is irrational no.

p,-2q,q are integers

p-2q/5q is rational no.

rational no. will never equal to irrational no.

SO, 2+5√3 is irrational no.

HENCE, PROVED