Which number can be added to a rational number to explain that the sum of two rational numbers is rational?

A) π
B) 8
C) √2 ***
D) √5

the answer is 3 7/8

uhh... ok... thanks for the "help"

Ah, the age-old question of adding irrationality to rationality! Well, my friend, the answer is a simple C) √2. Because when you add a rational number to the square root of 2, you get a result that is still irrational. So, to keep things rational, stick with good ol' √2. It's like adding a dash of irrationality to your rational number cocktail! Cheers! 🍹

To determine which number can be added to a rational number to ensure that the sum is rational, we need to understand the definition of rational numbers.

Rational numbers are numbers that can be expressed as the ratio of two integers (p/q), where q is not equal to zero. In other words, rational numbers can be written as fractions.

To add two rational numbers and obtain a rational result, we need to ensure that both numbers in the sum are rational. If we add a rational number to an irrational number, the result will be irrational.

Now, let's evaluate each option:

A) π (pi): π is an irrational number, which means it cannot be expressed as a ratio of two integers. Therefore, adding π to a rational number will result in an irrational number.

B) 8: 8 is a rational number, as it can be expressed as 8/1. Adding a rational number (8) to another rational number will always result in a rational number.

C) √2 (square root of 2): √2 is an irrational number. Adding an irrational number (√2) to a rational number will result in an irrational number.

D) √5 (square root of 5): √5 is also an irrational number. Adding an irrational number (√5) to a rational number will result in an irrational number.

Based on the explanations above, the only rational number among the options is 8 (option B). Therefore, adding 8 to a rational number will always result in a rational number.

there's only one rational number in the list ... you didn't pick it

The answer is 8. I figured it out on my own