prove that 3-under root5 is irrational no
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Hey buddy here is your answer
let 3-root 5 be rational
two co- prime be a and b
(3-root5) =a/b ,where b not equal to 0
a/b - 3 = root 5
a-3b/b = root 5
a and b are integers
a-3b/b = Rational no
1 is rational
root 5 is a rational
But our contraditation the fact that root 5 is irrational
Therefore 3 - root 5 is an irrational number .
Hope this method will be helpful to you !!!
let 3-root 5 be rational
two co- prime be a and b
(3-root5) =a/b ,where b not equal to 0
a/b - 3 = root 5
a-3b/b = root 5
a and b are integers
a-3b/b = Rational no
1 is rational
root 5 is a rational
But our contraditation the fact that root 5 is irrational
Therefore 3 - root 5 is an irrational number .
Hope this method will be helpful to you !!!
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