Question

Can surds be negative?

Answer 1

Definition of surds, A surd is an expression that includes a square root, cube root or other root symbol.

Surds cannot be further simplified into whole numbers or integers. Surds are irrational numbers.

$\mathrm{a}$ which is written in the form $\pm \sqrt[\mathrm{n}]{\mathrm{a}}$, where $\mathrm{n}$ is a positive integer but not equal to $1$ and $0$, $\mathrm{a}$ is a positive rational number, which cannot be expressed as a fraction of two integers.

For example, $\pm \sqrt[4]{128}$

Therefore, Surds are always positive.

Hence, surds can not be negative.