Choose the best description for the real number square root of 35 . (4 points)
Irrational, because it is not a terminating or repeating decimal
Irrational, because it is a repeating decimal
Rational, because it is not a terminating or repeating decimal
Rational, because it is a repeating decimal

Respuesta :

Answer:

A

Step-by-step explanation:

Using number sets, is if found that the best description for the square root of 35 is given by:

  • Irrational, because it is not a terminating or repeating decimal

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Numbers are classified as:

  • Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}
  • Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....}
  • Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern).
  • Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. One example is non-exact roots.
  • Real numbers: Rational plus irrational.

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  • The square root of 35 is a non-exact root, leading to a non-terminating decimal nor repeating decimal, and thus, the correct option is:

Irrational, because it is not a terminating or repeating decimal

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