Question

prove 8-√3is irrational number​

Answer 1

Step-by-step explanation:

let 8-√3 is rational

then

8-√3 =a/b

SOBS

64+3-2(8)(√3)=a²/b²

67-16√3=a²/b²

16√3=67-a²/b²

√3=1/16[67-a²/b²]

since a irrational cannot be equal to rational

our assumption that given number is rational is wrong

Hence, it is irrational

(◍•ᴗ•◍)

mark as brainliest to let me know if it helped u

Answer 2

Answer:

let 8-√3 be a rational no. R

8-√3=R

-√3 =R-8

√3 = -R +8

here, -R+8 is a rational no. but √3 is an irrational no. and a rational no. can never be equal to an irrational no.

so, our assumption is wrong

8-√3 is an irrational no.