Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus, the option D is the correct option, which is a number that can be written as a decimal that neither repeats nor terminates.
What is a irrational number?
Irrational numbers are the number which is the real number but not the rational number(a/b).The irrational numbers can not be represents in the fractional form.
Irrational numbers are written in the form of root of a number such as,
, , etc.
Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal.
Lets check all the given options as,
A) A number that can be written as a decimal that repeats and does not terminate- Irrational numbers is a decimal which does not repeats. Thus this is not correct option.
B) A number that can be written as a decimal that terminates and does not repeat- Irrational numbers is a decimal which does not terminate. Thus this is not correct option.
C) A number that can be written as a square root that does not result in a whole number-This does not explain the property of irrational number. Thus this is not correct option.
D) A number that can be written as a decimal that neither repeats nor terminates-Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus this is the correct option.
Hence, A number that can be written as a decimal that neither repeats nor terminates the option D is the correct option.