Question

Determine which two values the following irrational number is between.
√3

A.
is between 10 and 11
B.
is between 9 and 10
C.
is between 8 and 9
D.
is between 11 and 12

Answer 1

To determine the range in which \(\sqrt{3}\) lies, we can calculate its approximate value.

Calculating \(\sqrt{3}\):

\[
\sqrt{3} \approx 1.732
\]

Now we can analyze the options given:

A. is between 10 and 11 (1.732 is not in this range)
B. is between 9 and 10 (1.732 is not in this range)
C. is between 8 and 9 (1.732 is not in this range)
D. is between 11 and 12 (1.732 is not in this range)

Since none of the options correctly capture where \(\sqrt{3}\) fits, the correct assessment is:

\(\sqrt{3} \approx 1.732\) is between 1 and 2, which does not match any of the provided options A, B, C, D.

If those options are intended to illustrate numbers greater than 1, they are incorrect for \(\sqrt{3}\).