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

Question

Responses

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

7–√
square root of 7

π
pi

7.8
7.8

Answer 1

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Let's analyze each option:

1. 88√: This appears to refer to the square root of 88, which is not a rational number since it cannot be expressed as a fraction of two integers. The square root of 88 is approximately 9.38, which is an irrational number.

2. the fraction with numerator 8 and denominator square root of 8: This can be expressed as \( \frac{8}{\sqrt{8}} \). Since \( \sqrt{8} \) is irrational, this fraction is also irrational.

3. 7–√: This refers to the square root of 7, which is also irrational.

4. π: Pi is a well-known irrational number as it cannot be expressed as a fraction of two integers.

5. 7.8: This number can be expressed as \( \frac{78}{10} \) or \( \frac{39}{5} \), both of which are fractions of integers.

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