How would you express the square root of 1,824 in scientific notation?

To express the square root of 1,824 in scientific notation, you first need to calculate the square root of 1,824. The square root of 1,824 is approximately 42.8.

When transforming this value into scientific notation, you want to express it as a number between 1 and 10 multiplied by a power of 10. The number 42.8 can be expressed as 4.28 when we shift the decimal point one place to the left. Therefore, it can be rewritten in scientific notation as:

4.28 × 10^1

However, that number is still not in the provided choices. Since 42.8 can be approximated in the context of the available options, you look for a value that is close and can be adjusted. Noticing that 42.8 can be rounded to 4.3 (which is close to the value represented in option B, 4.27), this aligns better with scientific notation when you consider it reflects a value just under 43. Thus, 4.27 × 10^1 is the significant number when adjusted for scientific notation.

Recognizing that we've established 4.28 as close to 42.8 allows