Question

which of the following is a rational algebraic expression?

Answer 1

Answer:

Examples of rational numbers are 5/7, 4/9/ 1/ 2, 0/3, 0/6 etc. On the other hand, a rational expression is an algebraic expression of the form f(x) / g(x) in which the numerator or denominator are polynomials, or both the numerator and the numerator are polynomials.

Step-by-step explanation:

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Answer 2

The rational algebraic expression for the above question as per the options is:

(d.) a -b /b+a

What is a rational algebraic expression?

• The rational algebraic expression is also called rational expression.
• It is an algebraic fraction in which the either numerator or denominator of the fraction includes a polynomial or in some fractions both have polynomials.
• In a rational algebraic expression, the value of the denominator should not be=0, even if one of the variables is= 0.

Option wise explanation:

1. In option .a, if we take any variable x or y as 0 in the denominator, the value of the denominator will be equal to 0. Hence it can't be a rational expression.
2. In option .b, we need to simplify the value in inverse to make the exponent positive and so the denominator won't have any polynomial. Hence it isn't a rational expression.
3. In option .c, the expression is not a fraction hence it can't be a rational expression.

In option .d, it is the correct option as it is a fraction and even if any of the variables a or b are equal to 0, the denominator will not be equal to 0.

[Although option part of your above question is missing, you might be referring to the below given question as a whole:

"Which of the following expressions is a rational algebraic expression?

(a.) x√3y

(b.) 4y-² + z-³

(c.) 3c-3√(a+1)0

(d.) a - b /b+a"]