Which number represents the square root of 1,824?

Which number represents the square root of 1,824?

• A. 0.42708 x 10 to the first power
• B. 0.42708 x 10 to the second power
• C. 0.42708 x 10 to the third power
• D. 0.42708 x 10 to the fourth power

Answer: (B)

To determine which choice correctly represents the square root of 1,824, it is helpful to first calculate the square root itself. The square root of 1,824 is approximately 42.7. This can be expressed in scientific notation as 4.27 × 10^1. In this format, the exponent represents the power of ten that adjusts the decimal place to accurately reflect the value. When we evaluate the options given, choice B, which states 0.42708 x 10^2, can be rewritten. By converting from scientific notation, 0.42708 x 10^2 is equivalent to 42.708, which properly aligns with the square root of 1,824 (since 4.27 x 10^1 also simplifies to approximately 42.7). This reasoning affirms that choice B is accurate since it portrays the square root in an appropriately adjusted decimal and power of ten format.

To determine which choice correctly represents the square root of 1,824, it is helpful to first calculate the square root itself.

The square root of 1,824 is approximately 42.7. This can be expressed in scientific notation as 4.27 × 10^1. In this format, the exponent represents the power of ten that adjusts the decimal place to accurately reflect the value.

When we evaluate the options given, choice B, which states 0.42708 x 10^2, can be rewritten. By converting from scientific notation, 0.42708 x 10^2 is equivalent to 42.708, which properly aligns with the square root of 1,824 (since 4.27 x 10^1 also simplifies to approximately 42.7).

This reasoning affirms that choice B is accurate since it portrays the square root in an appropriately adjusted decimal and power of ten format.