Question

.
Prove that is
$5 + 2 \sqrt{7}$
irrational.​

Answer 1

Answer and Step-by-step explanation:

Let 5+2√7 be a rational no.

therefore 5+2√7=p/q

2√7=p/q-5

2√7=p-5q/q

√7=p-5q/2q

therfore p-5q/2q ia a rational no.

therefore √7 is also a rational number

but it is not possible as root 7 is an irrational no. therefore our assumption is wrong

Therefore 5+2√7 is an irrational no.

HOPE IT HELPS!!!!

PLS MARK AS BRAINLIEST!!!!