Question

A statement is shown. ​"The square root of x is a number that is non-terminating and non-repeating." ​Select all of the values of x that make the statement true. A:x=1 B: x=8 C: x=25 D: x=81 E: x=125

Answer 1

Answer:

The values of 'x' they make the statement true are;

B; x = 8

E; x = 125

Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x

B: x = 8, √x = √8 = 2·√2  Is non-repeating, non-terminating, 8 ∈ x

C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

D; x = 81, √x = √(81) = 9 ∉ x

E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.