Question

prove that 3+2root3 is irrational

Answer 1

Answer:

as root 3 irrational then 3+2root 3 is also irrational

Answer 2

Answer:

let root is rational

therefore root3 =a/b andn bnot equals to 0

squaring both sides

3b square = a square

3b=a__(i)

let a = 3c

squaring both sides

a square=3c square

3b square=9c square

b square= 3c square

b=3c_____(ii)

therefore our assumption is wrong this contradicts our fact that root3 is rational.

. multiplication aand addition of any rational and irrational no. is irrational

HENCE PROVED