Prove that root 3 is an irrational number...
Answers
Answered by
1
Answer:
The answer of root 3 is 1.73205080756888 as it is non terminating and non repeating/ recurring.
Answered by
1
Answer:
assume that √3 is rational
√3=a/b
square on both sides
3=a^2/b^2
3b^2=a^2
therefore 3 divides a^2 and a
put a=3c
3b^2=(3c)^2
3b^2=9c^2
b^2=3c^2
therefore, 3divides b^2 and b
therefore 3 is the common factor of a and b
but we assume that 1 is the common factor of a and b
by contradiction
√3 is irrational....
hope it helps you
mark me as brainliest.......
and like Friends
Similar questions