Find the square root of the number 3, 4, and 5. If the last two digits are less than the first digit, what are the results?
Understand the Problem
The question asks to find the square root of a number related to geometry or measurement, following a specific set of conditions. It appears to involve mathematical concepts of square roots and possibly geometry.
Answer
The square root of the area is \( 396 \, \text{m} \).
Answer for screen readers
The square root of the area of the square field is ( 396 , \text{m} ).
Steps to Solve
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Identify the question
The question requests the square root of a number related to the area of a geometric figure. Specifically, we need to find the square root of the area of a square field. -
Find the area of the square
The area of a square is calculated using the formula:
$$ \text{Area} = \text{side}^2 $$
In this case, the side length is given as 396 m, so:
$$ \text{Area} = 396^2 $$ -
Calculate the area
Now we compute:
$$ 396^2 = 156816 $$ -
Find the square root
To find the side length from the area, we calculate the square root:
$$ \text{Side} = \sqrt{\text{Area}} = \sqrt{156816} $$ -
Calculate the square root
Using a calculator or a square root table:
$$ \sqrt{156816} = 396 $$
The square root of the area of the square field is ( 396 , \text{m} ).
More Information
The concept of finding the square root is fundamental in geometry, particularly when dealing with areas and side lengths of squares. Knowing that the area is equal to the side length squared helps in understanding the relationship between these two measures.
Tips
- Miscalculating the square of the side length.
- Forgetting that the side length can also be found by taking the square root of the area.
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