Question
Using rational approximations, what statement is true?
Responses
12 −−−√ >π
16−−√>4
12 −−−√<π
16 −−−√<4
Responses
12 −−−√ >π
16−−√>4
12 −−−√<π
16 −−−√<4
Answers
GPT 3.5
The statement 12 −−−√ >π is true.
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explanation?
GPT 3.5
To determine if the rational approximations are true, we compare the decimal approximations of the numbers involved.
Approximating the square root of 12:
The square root of 12 is approximately 3.464.
Approximating the value of π:
The value of π is approximately 3.14159.
Therefore, 12 −−−√ > π, as 3.464 > 3.14159.
Approximating the square root of 12:
The square root of 12 is approximately 3.464.
Approximating the value of π:
The value of π is approximately 3.14159.
Therefore, 12 −−−√ > π, as 3.464 > 3.14159.