Respuesta :
Each cube root is the same as raising the number to the 1/3 power
The rule is [tex]\sqrt[n]{x} = x^{1/n}[/tex]
Compute each expression using a calculator
A. (216)^(1/3) = 6
B. (144)^(1/3) = 5.24 approximately
C. (64)^(1/3) = 4
D. (125)^(1/3) = 5
The only non-whole result we got was with choice B, so that is the answer. It is not possible to represent the cube root of 144 as a ratio of two whole numbers. With the other results it is possible to have a fraction of two integers. Example: 4 = 4/1, which shows that the cube root of 64 is rational.
Answer: choice B
Answer:
Option B
Step-by-step explanation:
∛216 = 6
∛144 = 5.241482788........ This goes on without bounds. Try it on your calculator.
Its this one
C is 4 and D is 5.
