azocher26
azocher26 azocher26
  • 08-07-2021
  • Mathematics
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Which of the following numbers is rational? Assume that the decimal patterns continue.

Which of the following numbers is rational Assume that the decimal patterns continue class=

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Corsaquix
Corsaquix Corsaquix
  • 08-07-2021

Answer:

[tex]\sqrt{49}[/tex]

Step-by-step explanation:

Define a rational number by a number able to expressed a fraction where the denominator is not 0 or 1.

Non-terminating (never-ending) decimals cannot be expressed as a fraction and therefore are irrational. However, recall that [tex]\sqrt{49}=7[/tex], which can be expressed as a fraction (e.g. [tex]\frac{14}{2}[/tex], etc). Thus, the answer is [tex]\boxed{\sqrt{49}}[/tex].

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