Question

Rational & Irrational Numbers Online Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 1 of 201 of 20 Items Question Apply the Closure Property to predict the answer. Will the sum of 25−−√ and 18 be an irrational or rational number?(1 point) Responses Irrational, because one of the addends has a radical. Irrational, because one of the addends has a radical. The sum does not exist because a radical cannot be added to a fraction. The sum does not exist because a radical cannot be added to a fraction. Rational, because both addends are rational. Rational, because both addends are rational. It could be either, because there is one of each type of number.

Answer 1

To determine whether the sum of $\sqrt{25}$ (which is 5, a rational number) and 18 (also a rational number) will be rational or irrational, we need to examine the numbers involved.

1. $\sqrt{25}=5$, which is a rational number.
2. 18 is also a rational number.

According to the Closure Property of Addition, the sum of two rational numbers is always a rational number.

Therefore, the correct response is:
Rational, because both addends are rational.