Question

prove that 8-2 root 3 is irrational number​

Answer 1

Answer:

LET US ASSUME THAT 8-2ROOT3 IS AN IRRATIONAL NUMBER.

SO 8-2ROOT3=P/Q

WHERE P AND Q ARE INTEGERS..

-2ROOT3=P/Q-8

ROOT3=(P/Q-8)/-2

THUS (P/Q-8)/-2 IS A RATIONAL NO. WHERE PA ND Q ARE INTEGERS.

SO, ROOT 3 IS ALSO IRRATIONAL..

BUT THIS CONTRADICTS THE FACT THAT ROOT 3 IS IRRATIONAL.

THUS OUR ASSUMPTION WAS WRONG.

HENCE,PROVED...

PLEASE MARK IT AS THE BRAINLIEST..