13 of 1813 of 18 Items

Question

Which point approximates the 11−−√
?

(1 point)
Responses

B
B

D
D

A
A

C

1 answer

To approximate \( \sqrt{11} \), we can consider its value and compare it with the given points (A, B, C, D) to determine which one is closest.

Calculating \( \sqrt{11} \):

  • \( \sqrt{9} = 3 \)
  • \( \sqrt{16} = 4 \)

Since \( 11 \) is between \( 9 \) and \( 16 \), \( \sqrt{11} \) will be between \( 3 \) and \( 4 \).

To get a better sense of what \( \sqrt{11} \) is, we can estimate:

  • \( 3.3^2 = 10.89 \)
  • \( 3.4^2 = 11.56 \)

Thus, we can deduce that:

\[ 3.3 < \sqrt{11} < 3.4 \]

Calculating more closely, \( \sqrt{11} \approx 3.3166 \).

You'll need to compare this approximate value of \( 3.3166 \) against the choices labeled A, B, C, and D. If the choices are numerical points, see which one is closest to approximately \( 3.3166 \).

Please provide the values of A, B, C, and D to determine the correct response.