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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1 answer

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.