MATH SOLVE

9 months ago

Q:
# which best explains what determines whether a number is irrational?A) a number that can be written as a decimal that repeats and does not terminate B) a number that can be written as a decimal that terminates and does not repeat C) a number that can be written as a square root that does not result in a whole number D) a number that can be writtten as a decimal that neither repeats nor terminates

Accepted Solution

A:

Answer:Option: D is the correct answer. D) a number that can be written as a decimal that neither repeats nor terminatesStep-by-step explanation:We know that real numbers are divided into two categories:1) Rational Number--A number that can be expressed in the form of p/q i.e. a fraction where p belongs to integers and q belongs to natural numbers and also the decimals which are terminating and repeating.2) Irrational Number--A number that cannot be expressed in the form of p/q are irrational also the non-repeating and non-terminating decimals are considered as irrational. Hence, the answer is: Option: D