Question

Which of the following is a rational number?(1 point)
Responses

7–√
square root of 7

7.8
7.8

π
pi

88√
the fraction with numerator 8 and denominator square root of 8
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page 15 of 15

Answer 1

A rational number is any number that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \) is not zero.

Let's analyze each option:

1. **\( \sqrt{7} \)** – This is an irrational number.
2. **7.8** – This is a rational number since it can be expressed as \( \frac{78}{10} \) or \( \frac{39}{5} \).
3. **\( \pi \)** – This is also an irrational number.
4. **\( \frac{8}{\sqrt{8}} \)** – While it can be simplified, \( \sqrt{8} \) is irrational, so this fraction is irrational as well.

Therefore, the only rational number among the given options is **7.8**.