What’s the Deal with +e?

ANDREW DANIELS
Given everything we know about two of math’s most famous constants, and e, it’s a bit surprising how lost we are when they’re added together.
This mystery is all about algebraic real numbers. The definition: A real number is algebraic if it’s the root of some polynomial with integer coefficients. For example, x²-6 is a polynomial with integer coefficients, since 1 and -6 are integers. The roots of x²-6=0 are x=√6 and x=-√6, so that means √6 and -√6 are algebraic numbers.
All rational numbers, and roots of rational numbers, are algebraic. So it might feel like “most” real numbers are algebraic. Turns out it’s actually the opposite. The antonym to algebraic is transcendental, and it turns out almost all real numbers are transcendental—for certain mathematical meanings of “almost all.” So who’s algebraic, and who’s transcendental?
The real number goes back to ancient math, while the number e has been around since the 17th century. You’ve probably heard of both, and you’d think we know the answer to every basic question to be asked about them, right?
Well, we do know that both and e are transcendental. But somehow it’s unknown whether +e is algebraic or transcendental. Similarly, we don’t know about e, /e, and other simple combinations of them. So there are incredibly basic questions about numbers we’ve known for millennia that still remain mysterious.
MOST DIFFICULT AND UNSOLVED MATHEMATICS QUESTION!!
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positive is the ans
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