Prove that : 5- root 3 is irrational.
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A/C properties of Irrational
Rational subtracted to irrational always irrational
5 is rational and -√3 is irrational
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we have to prove that 5-root 3 is irrational
let us assume the opposite,
I.e.,5-root 3 is rational
hence 5-root 3 can be written on P/Q or a/b
where a and b (b not equal to 0) are co prime
( no common factors other than 1)
hence 5- toote=a/b
now solve the equation ans will come
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