Answer:
The number that does not belong with the other three is √50.
Step-by-step explanation:
Consider the provided numbers.
Rational number: A number
is said to be rational, if it is in the form
of p/q. Where p and q are integer and
denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.
Irrational
number: A number is irrational if it cannot
be expressed be expressed by dividing two
integers. The decimal expansion of
Irrational numbers are neither terminate nor
periodic.
Now consider the number.
50.1 repeating 1 is a rational number as the decimal expansion is periodic.
Negative 50 over 2 can be written as: -50/2
-50/2 is a rational number as it is in the form of p/q.
Negative 50.1 can be written as: -501/10
Thus, -501/10 is a rational number as it is in the form of p/q.
√50 = 7.071067...
The number √50 is not a rational number as the decimal expansion of
number is neither terminate nor
periodic.
Hence, the number √50 is an irrational number.
The number that does not belong with the other three is √50.
