What is the approximate value of the square root of 18?

What is the approximate value of the square root of 18?

• A. 4.12
• B. 4.24
• C. 4.36
• D. 4.47

Answer: (B)

To find the approximate value of the square root of 18, we can use the fact that the square root of 18 can be simplified into a more manageable form. The square root of 18 can be expressed as the square root of (9 * 2), which simplifies to 3 * √2, since √9 equals 3. To estimate √2, we know that it is approximately 1.41. Therefore, calculating 3 * 1.41 gives us about 4.23. When looking at the choices provided, 4.24 is the closest approximation to this value. This method shows the relationship between perfect squares and allows us to make educated estimates for square roots of non-perfect squares, highlighting how we can leverage known values to find solutions efficiently.

To find the approximate value of the square root of 18, we can use the fact that the square root of 18 can be simplified into a more manageable form. The square root of 18 can be expressed as the square root of (9 * 2), which simplifies to 3 * √2, since √9 equals 3.

To estimate √2, we know that it is approximately 1.41. Therefore, calculating 3 * 1.41 gives us about 4.23. When looking at the choices provided, 4.24 is the closest approximation to this value.

This method shows the relationship between perfect squares and allows us to make educated estimates for square roots of non-perfect squares, highlighting how we can leverage known values to find solutions efficiently.