There are transcendental numbers such as pi, e, phi. The fact that they are transcendental means that they are not solutions of non-trivial algebraic polynomials with rational coefficients. There is, therefore, no surd form for such numbers.
Chat with our AI personalities
Yes. The definition of a surd is "an irrational number"
No because surds are irrational numbers
It is impossible to have a surd that is not irrational. Surds are defined to be an irrational number (square root of a number).
surd
A surd is a number expressed as a square root (or some other root). Such roots are usually irrational; but irrational numbers also include other numbers, which CAN'T be expressed as the root of a rational number. For example, pi and e.