What makes a number transcendental?

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I read wikipedia about transcendental numbers and I honestly didn’t understand most of what I read, nor why it should be important that e and pi (or any numbers) are transcendental.

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Anonymous 0 Comments

A number is transcendental if using only addition, subtraction, multiplication, division, and exponentiation by a positive integer, you cannot eventually reach 0

The opposite of this would be an algebraic number.

Sqrt(2) is algebraic because sqrt(2)^2 – 2 = 0

i is algebraic because i^2 + 1 = 0

π is transcendental because there is no such way to do this. Same for e

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