Using rational approximations, what statement is true?

Question

responses

√16 > 4

√12 < >

√16 < 4

√12 > π

Answer 1

Let's evaluate the provided statements one by one:

1. √16 > 4:

   • Since √16 = 4, the statement is false.

2. √12 < ? (appears incomplete):

   • This statement is missing a comparison.

3. √16 < 4:

   • Since √16 = 4, the statement is false.

4. √12 > π:

   • To evaluate this, we can approximate:
     • √12 is approximately 3.464 (since √12 = √(4×3) = 2√3, and √3 is about 1.732).
     • π is approximately 3.142.
   • Thus, 3.464 > 3.142, so this statement is true.

Based on this analysis, the only true statement among the options is √12 > π.