Square Root - 1 Worksheet / FREE Printable Worksheets - Free Printable

Problem Analysis:

The image shows a 6x2 grid with square roots (√) in each cell. The task is to solve the problem and explain the solution. However, the image does not provide any specific numbers or expressions inside the square root symbols. Therefore, I will assume that the task involves filling in the grid with appropriate values or expressions for the square roots.

Assumption:

Since no specific values are provided, let's assume the task is to fill in the grid with simple square roots of perfect squares (e.g., √1, √4, √9, etc.). This is a common type of exercise in mathematics to practice understanding square roots.

Solution Approach:

1. Identify Perfect Squares: Recall that the square root of a perfect square is an integer. For example:
- √1 = 1
- √4 = 2
- √9 = 3
- √16 = 4
- √25 = 5
- √36 = 6

2. Fill in the Grid: We can fill the grid with the square roots of the first 12 perfect squares. Since there are 12 cells in the grid (6 rows and 2 columns), we can use the square roots of the numbers 1 through 12.

3. Assign Values: Assign the square roots of the perfect squares to the cells in a systematic manner. For example, we can fill the grid row by row.

Filled Grid:

Here is the filled grid with the square roots of the first 12 perfect squares:

| √1 | √4 |
|-----|-----|
| √9 | √16 |
| √25 | √36 |
| √49 | √64 |
| √81 | √100 |
| √121 | √144 |

Explanation:

- The first row contains √1 and √4, which correspond to the square roots of 1 and 4.
- The second row contains √9 and √16, which correspond to the square roots of 9 and 16.
- This pattern continues until the sixth row, which contains √121 and √144, corresponding to the square roots of 121 and 144.

Final Answer:

The filled grid is:

\[
\boxed{
\begin{array}{cc}
\sqrt{1} & \sqrt{4} \\
\sqrt{9} & \sqrt{16} \\
\sqrt{25} & \sqrt{36} \\
\sqrt{49} & \sqrt{64} \\
\sqrt{81} & \sqrt{100} \\
\sqrt{121} & \sqrt{144} \\
\end{array}
}
\]

This solution assumes the task was to fill in the grid with the square roots of the first 12 perfect squares. If the task had different requirements, please provide additional details for further clarification.