Question

Is Root $3$ a polynomial?

Answer 1

Define a polynomial and check whether $\sqrt{3}$ satisfies the criteria to be a polynomial

A polynomial can be defined as a mathematical expression containing multiple terms where the power or exponent of the variables in each term are whole numbers

For example: $a_{1}x+a_2{x}^5$ is a polynomial with two terms in the variable $x$.

Here $a_1,a_2$ are coefficients and the exponents of both the terms are $1,5$ respectively.

Both being whole numbers.

Now consider $\sqrt{3}$

We know that any number raised to zero is equal to $1$

$\Rightarrow$$x^0=1$

$\Rightarrow$$\sqrt{3}=\sqrt{3}\times 1$

$=\sqrt{3}{x}^0$

$\sqrt{3}{x}^0$ satisfies all the criteria for an expression to be a polynomial.

Hence, $\sqrt{3}=\sqrt{3}{x}^0$ is a single term polynomial, also known as monomial with degree $0$.