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Transcendental means to go beyond and is usually referring to the spiritual or non-physical realm.
In Mathematics it relates to a real or complex number that is not the root of any polynomial that has positive degree and rational coefficients.
To answer the question well, we need some context. I will answer it in the math context and if you want other contexts. just resubmit the question with that category chosen. A transcendental number is one that is not the solution of any polynomial equation where the coefficients of the equation are rational numbers. The number may be real or complex and is not algebraic!
From the Merriam-Webster dictionary:
1. of or relating to a spiritual or nonphysical realm: the transcendental importance of each person's soul.
• (in Kantian philosophy) presupposed in and necessary to experience; a priori.
• relating to or denoting Transcendentalism.
2. Mathematics (of a number, e.g., e or π) real but not a root of an algebraic equation with rational roots.
• (of a function) not capable of being produced by the algebraical operations of addition, multiplication, and involution, or the inverse operations.
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