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.
