Are these rational or not?​

Answer:1) 4x / (x-1) - Solution: This expression is already in its simplest form. It is rational because it is the ratio of two polynomials. 2) (x^2 - 3x) / 2 - Solution: This expression can be simplified by factoring out an x from the numerator: x(x-3) / 2.- Rational: Yes, it is the ratio of two polynomials. 3) (4 - x) / (2 - √x) - Solution: This expression is already in its simplest form. It is not rational because the denominator contains a radical (√x). 4) x / (x - 4) - Solution: This expression is already in its simplest form. It is rational because it is the ratio of two polynomials. 5) x^3/2 / (x - 4) - Solution: This expression is already in its simplest form. It is not rational because the numerator contains a fractional exponent (3/2). 6) (1 - x) / (1 + 1/x) - Solution: This expression can be simplified by multiplying the numerator and denominator by x:- (1 - x) * x / (1 + 1/x) * x = (x - x^2) / (x + 1)- Rational: Yes, it is the ratio of two polynomials. 7) (2x + 1) / x^2 - Solution: This expression is already in its simplest form. It is rational because it is the ratio of two polynomials. 8) (7x - 3) / (3x - x^1/25) - Solution: This expression is already in its simplest form. It is not rational because the denominator contains a fractional exponent (1/25).

Answered by BrainlYclules | 2024-09-02