Question
approximate value to √15?
A: about 5.5
B: about 5.1
C: about 3.9
D: about 6.6
E: about 7.0
F: about 6.1
G: about 3.5
A: about 5.5
B: about 5.1
C: about 3.9
D: about 6.6
E: about 7.0
F: about 6.1
G: about 3.5
Answers
GPT-4o mini
To approximate \(\sqrt{15}\), we can note that \(\sqrt{15}\) is between \(\sqrt{9}\) (which is 3) and \(\sqrt{16}\) (which is 4).
A more precise estimate would be closer to 4, but just less. Squaring 3.8 gives \(3.8^2 = 14.44\) and squaring 3.9 gives \(3.9^2 = 15.21\). Therefore, \(\sqrt{15}\) is approximately 3.87.
Among the options given, the closest value to \(\sqrt{15}\) is:
C: about 3.9.
A more precise estimate would be closer to 4, but just less. Squaring 3.8 gives \(3.8^2 = 14.44\) and squaring 3.9 gives \(3.9^2 = 15.21\). Therefore, \(\sqrt{15}\) is approximately 3.87.
Among the options given, the closest value to \(\sqrt{15}\) is:
C: about 3.9.