What value is close to the square root of 20?

To determine which value is close to the square root of 20, it's helpful to start by estimating the square root. We know that the square root of 16 is 4 and the square root of 25 is 5. Therefore, the square root of 20 must fall between these two values, specifically between 4 and 5.

To refine our estimate further, we can find the average of 16 and 25:

• The average of 4 (which is √16) and 5 (which is √25) can provide a midpoint, around 4.5.

Next, consider squaring the estimate of 4.5:

• 4.5 squared equals 20.25, which is slightly more than 20.

Now, let's check 4.4:

• Squaring 4.4, we get 19.36, which is less than 20. This indicates that the square root of 20 is actually a bit higher than 4.4.

Now moving to 4.47:

• If we square 4.47, we approximate it as 4.47 × 4.47, which gives us about 19.9809, very close to 20