prove that 2/√3 is irrational.
Attachments:
Answers
Answered by
2
let 2 by root 3 be rational no.
2 by root 3 ×3 will also be a rational no.
root 3 is rational no.
this contradicts the fact that root 3 is an irrational no.
hence, our assumption is wrong
therefore, 2 by root 3 is an irrational no.
Mark as brainlist
2 by root 3 ×3 will also be a rational no.
root 3 is rational no.
this contradicts the fact that root 3 is an irrational no.
hence, our assumption is wrong
therefore, 2 by root 3 is an irrational no.
Mark as brainlist
Ashutosh824:
hllo saurav mark it brainlist
Answered by
15
hey!
here is the answer
2/√3 is an irrational number ⏬⏬⏬⏬⏬✴❕❕❕❕❕❗❗❣❣
let's do it
let 2/√3 a rational number
then 2/√3= a/b where a and b are integers and b is not equal to 0 ..
then 2/√3 =a/b ( here we will do cross multiplication )
and we get
√3a/2b and it is an irrational number , so the contradiction we have supposed is wrong ..
hence, 2/√3 is an irrational number
hope it helps
regards commando ✌✌✌✌✌✌⭐⭐⭐⭐⭐⭐✡✡✡✌✌✌
here is the answer
2/√3 is an irrational number ⏬⏬⏬⏬⏬✴❕❕❕❕❕❗❗❣❣
let's do it
let 2/√3 a rational number
then 2/√3= a/b where a and b are integers and b is not equal to 0 ..
then 2/√3 =a/b ( here we will do cross multiplication )
and we get
√3a/2b and it is an irrational number , so the contradiction we have supposed is wrong ..
hence, 2/√3 is an irrational number
hope it helps
regards commando ✌✌✌✌✌✌⭐⭐⭐⭐⭐⭐✡✡✡✌✌✌
Similar questions