Question

Approximate square root of 45 to the nearest hundredths place.

6.71
6.70
6.69
6.72

Answer 1

To approximate the square root of 45, we can perform a quick calculation:

\[
\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}
\]

We can approximate \(\sqrt{5}\) as approximately 2.236. Therefore:

\[
3\sqrt{5} \approx 3 \times 2.236 = 6.708
\]

Rounding \(6.708\) to the nearest hundredths place gives us \(6.71\).

Thus, the approximate square root of 45 to the nearest hundredths place is:

**6.71**.