Question

Identify the number that does not belong with the other three. Explain your reasoning. 26.6 repeating 6, square root 48, negative 51 over 2, negative 55.1

Answer 1

The number that doesn't beling is
`√(48)`.

This is true because all other numbers are rational (i.e., can be written as a fraction), while
`√(48)` is an irrational number (i.e., can not be written as a fraction).

Answer 2

The square root of 48 is the only irrational number in that group.

Explanation:

A. 26.6 ( repeating 6 ) =
`26(2)/(3)`

B.
`√(48)` = 4√3

C. -51/2 = -25.5 =
`25(1)/(2)`

D. -55.1

So, we have A, C and D as rational numbers.

Only
`√(48)` is an irrational number

Hence, The square root of 48 is the only irrational number in that group.