prove that 2 + root 3 is an irrational number
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prove that 2 + root 3 is an irrational number
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let us assume 2+3 as rational.
= 2+ 3=a/b
.:2-a/b>-√3 or √3-a/b-2
√3=a/b-2
√3=a-2b/b
a and b are positive integers a-2b/b is rational
→ √3 is rational
but we know that √3 is irrational
..- 2+√3 is irrational