Let us assume is a rational number.
, b ≠ 0 and also a and b are integers.
⇒ b(2+√3) = 5a
⇒ 2b+ √3b = 5a
Since, a and b are integers.
5a – 2b will also be an integer.
So, will be rational number which means √3 is also rational.
But √3 is irrational as given which is contradiction.
So, is an irrational number.
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