numbers
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
The value of the sum depends on the values of the rational number and the irrational number.
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
you could get irrational values for x, rational values for x, imaginary values for x, and perfect squares for x. although perfect squares are rational answers so i guess i can think of three possible answer types. :) oh you can get zero for the value of x. there you go.
There are infinitely many rational numbers between 2 and 27.
The function is not defined at any values at which the denominator is zero.
They represent rational numbers.
The rational zeros (or rational roots) of a function y = f(x) are the rational values of x for which y is zero. In graphical terms, these are the values at which the graph of y against x crosses (or touches) the x-axis - PROVIDED that the x value for these points are rational. In the simplest cases, you can solve f(x) = 0 algebraically to find the rational zeros. In other cases, you might need to solve f(x) = 0 by graphical methods, by trial and improvement or by numerical methods such as Newton-Raphson. In all these cases, you need to confirm that the x value is rational.
None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.
Traditional values focus on preserving traditional practices, social norms, and institutions, often based on religious beliefs. Secular-rational values prioritize rationality, science, and individualism, often challenging traditional belief systems and advocating for progress and change based on reason and evidence.
Because there are numerical values which cannot be expressed as ratios of two integers. That is, there are numbers that are not rational.