What is the relationship between the area of a square and its side length?

The area of a square is equal to the side length squared, expressed as $$A = s^2$$ , where A is the area and s is the side length.

What is the square root of a negative number?

The square root of a negative number is not a real number; it is an imaginary number. For example, $$\text{sqrt}(-1) = i$$ .

How can you estimate the square root of a number?

To estimate the square root, find the two perfect squares it lies between and use them to approximate. For example, $$\text{sqrt}(50)$$ lies between 7 (49) and 8 (64).

What is the principle of squaring a number?

Squaring a number means multiplying the number by itself. For example, squaring 4 gives 16, since $$4 x 4 = 16$$ .

What is the significance of square roots in geometry?

Square roots are used to determine the lengths of sides in geometric shapes, especially squares and rectangles, based on area.

How do you represent the square root symbolically?

The square root is represented by the radical symbol $$\text{sqrt}$$ or @@ oot@@.

SOL 8.3 Square Roots Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.

2.

FLASHCARD QUESTION

Front

What is the square root of 324?

Back

18

3.

FLASHCARD QUESTION

Front

How do you find the length of a side of a square if you know the area?

Back

4.

FLASHCARD QUESTION

Front

Back

18 and 19

5.

FLASHCARD QUESTION

Front

Back

Approximately 6.7, which lies between 6 and 7.

6.

FLASHCARD QUESTION

Front

What is the area of a square with a side length of 5 feet?

Back

7.

FLASHCARD QUESTION

Front

If the area of a square is 100 square feet, what is the length of each side?

Back

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