Respuesta :

The irrational number among those listed is given by:

C. √5.

What are rational and irrational numbers?

  • Rational numbers are numbers that can be represented by fractions, such as terminating decimals, or repeating non-terminating decimal.
  • Irrational numbers are numbers that cannot be represented by fractions, such as non-repeating non-terminating decimals and non-exact roots.

For this problem, we have that:

  • 0.777 is a repeating non-terminating decimal, hence it is a rational number.
  • 0.45454545... is a repeating non-terminating decimal, hence it is a rational number.
  • The square root of 5 is a non-exact square root, hence it is an irrational number.
  • 0.3 is a terminating decimal, hence it is a rational number.

Since the square root of 5 is the only irrational number, option C is correct.

More can be learned about rational and irrational numbers at brainly.com/question/17232771

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