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It means that the answer can be written as a fraction using whole numbers (integers) i.e. 3/4 or 1/8 or 5 (which is identical to 5/1 and hence rational)

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Q: What happens if you are checking a solution for the rational expression?
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What happens if you are checking a solution for the rational expression and find that it makes one of the denomiators equal to zero?

If one of the denominators becomes equal to zero when checking a solution for a rational expression, it means that the expression is undefined at that point. This is because division by zero is not defined in mathematics. Therefore, the solution you found is not valid for that rational expression.


What happens if you are checking a solution for the radical expression and find that it makes one of the arguments of the roots negative?

you've done something wrong


What happens if you miss a step when solving a rational equations?

Presumably you'll arrive at the wrong solution.


What happens if you are checking a solution for the radical expression and find that it makes one of the denominators in the expression equal to zero?

Then it is not a solution of the original equation. It is quite common, when solving equations involving radicals, or even when solving equations with fractions, that "extraneous" solutions are added in the converted equation - additional solutions that are not solutions of the original equation. For example, when you multiply both sides of an equation by a factor (x-1), this is valid EXCEPT for the case that x = 1. Therefore, in this example, if x = 1 is a solution of the transformed equation, it may not be a solution to the original equation.


What happens when you subtract rational numbers?

The answer is a rational number.


What happens when you multiply rational numbers?

The product is a rational number.


What s happens when rational numbers are multplied?

The product of two rational numbers is always a rational number.


What happens when you add two rational numbers?

The result will also be a rational number.


Is the product of a rational number and an irrational number rational or irrational?

Such a product is always irrational - unless the rational number happens to be zero.


Is the quotient of an irrational number and a rational number always irrational?

No. It is not defined if the rational number happens to be 0.


What happens when a rational number is divided by an irrational number?

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.


What happens when barium nitrate solution is added to zinc sulphate solution?

Sh!t happens.