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

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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

Answers

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√3C. -51/2 = -25.5 = [tex]25\frac{1}{2}[/tex]D. -55.1So, we have A, C and D as rational numbers. Only [tex]\sqrt{48}[/tex] is an irrational numberHence, The square root of 48 is the only irrational number in that group.

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