Question

what makes a polynomial a non-rational algebraic expression?​

Answer 1

Answer:

A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √x + 4.

Step-by-step explanation:

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Answer 2

Answer:

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations.

Any expression that can be converted into a rational fraction using the properties of the arithmetic operations is said to be rational (commutative properties and associative properties of addition and multiplication, distributive property for the operations on the fractions).

In other terms, a rational expression is one that can be created using only the four arithmetic operations and the variables and constants.

An algebraic expression that can be represented as a quotient of polynomials, such as $x^2 + 4x + 4$, is known as a rational algebraic expression (or rational expression).

Irrational algebraic expressions are ones that are not rational in nature, for eg. $\sqrt{x} +4$