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

Respuesta :

The number that doesn't beling is [tex] \sqrt{48} [/tex].

This is true because all other numbers are rational (i.e., can be written as a fraction), while [tex] \sqrt{48} [/tex] is an irrational number (i.e., can not be written as a fraction).

Answer:

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

Step-by-step explanation:

A. 26.6 ( repeating 6 ) = [tex]26\frac{2}{3}[/tex]

B. [tex]\sqrt{48}[/tex] = 4√3

C. -51/2 = -25.5 = [tex]25\frac{1}{2}[/tex]

D. -55.1

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

Only [tex]\sqrt{48}[/tex] is an irrational number

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