To determine the value of the square root of 28, we can calculate the squares of numbers around it:
- \( 5^2 = 25 \)
- \( 6^2 = 36 \)
Since \( 25 < 28 < 36 \), we can conclude that \( \sqrt{28} \) is between 5 and 6.
Next, let's estimate where it falls between these two numbers. The square of 5.5 is:
- \( 5.5^2 = 30.25 \)
Since 30.25 is greater than 28, we know that \( \sqrt{28} \) is less than 5.5. Now we check 5.3:
- \( 5.3^2 = 28.09 \)
Since 28.09 is slightly greater than 28, we also know that \( \sqrt{28} \) is less than 5.3.
To summarize, \( \sqrt{28} \) is between 5 and 5.3. Therefore, the correct statement is:
It is between 5 and 6, probably closer to 5.
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