express that 2 + root 3 is an irrational number
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Let 2+√3 is a rational number. A rational number can be written in the form of p/q. p,q are integers then (p-2q)/q is a rational number. ... Therefore,2+√3 is an irrational number
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suppose 2+√3 be rational
2+√3 can be written in the form of a/b
2+√3 = a/b
√3= a/b -2 => √3 = a-2b/ b
since a and b are integers , so a-2b /b
thus, √3 is irrational
.
. . hence proved
its the answer.....
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