prove 2 + √3 is irrational
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do the square of and as follows
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Step-by-step explanation:
Let us suppose that 2 + √3 as rational.
Here, 2 + √3 which is just equals to the a / b.
=> 2+√3=a/b
Now, exchange the place of a/b.
∴2-a/b=-√3 or √3=a/b-2
=> √3=a/b-2
=> √3=a-2b/b
Since, a and b are positive integers
Therefore, a-2b/b is rational
=> √3 is rational
But as we know that √3 is irrational
=> 2+√3 is irrational
Therefore, 2 + √3 is irrational number.
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