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 $\sqrt{48}$.

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

Answer 2

Answer:

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

Step-by-step explanation:

A. 26.6 ( repeating 6 ) = $26\frac{2}{3}$

B. $\sqrt{48}$ = 4√3

C. -51/2 = -25.5 = $25\frac{1}{2}$

D. -55.1

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

Only $\sqrt{48}$ is an irrational number

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