What is the square root of 12 approximately?

To determine the approximate square root of 12, one can analyze integers that are close to 12. The square root of 9 is 3, and the square root of 16 is 4. This indicates that the square root of 12 falls between 3 and 4.

Calculating further, squaring the approximate values can narrow it down. For instance:

• 3.3 squared (3.3 * 3.3) is equal to 10.89, which is less than 12.

• 3.4 squared (3.4 * 3.4) equals 11.56, also less than 12.

• 3.5 squared (3.5 * 3.5) gives 12.25, which is greater than 12.

From this, we can deduce that the square root of 12 lies between 3.4 and 3.5. To refine further, estimating around 3.46 provides a value that, when squared, is approximately equal to 12. Thus, the square root of 12 is closest to 3.46 when examining the possible options.

Using this reasoning, it becomes evident that selecting 3.46 as