What value corresponds to the square root of 5.42 approximately?

To determine the value that corresponds to the square root of 5.42, we can analyze the options through estimation and comparison with known square roots.

The square root of a number is the value that, when multiplied by itself, yields the original number. Since 5.42 is slightly more than 5, we can use the square roots of numbers close to 5 for approximation. The square root of 4 is 2.0, and the square root of 9 is 3.0, meaning that the square root of 5 will be between 2.0 and 3.0.

Calculating further, we find that the square root of 5 is approximately 2.236 (because 2.236 multiplied by 2.236 is roughly 5). Since 5.42 is a little more than 5, its square root should be slightly larger than 2.236.

Looking at the choices provided, 2.23 is the closest value to that calculation. It's slightly lower than the actual estimate but remains a reasonable approximation given the options. This means that 2.23 accurately reflects the approximate square root of 5.42 given the choices available.