Question

6
\leftrightarrow \square

4
4
\leftrightarrow \square

8
8
\leftrightarrow \square

\sqrt{64}=8 \quad \sqrt{6}=36 \quad \sqrt{4}=16 \quad \sqrt{16}=4 \quad \sqrt{36}=6 \quad \sqrt{8}=4

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Analyze the first grid

The first grid is a square with a side length of \(6\).
The total number of small unit squares inside is:

$$ 6 \times 6 = 36 $$

The square root of the total area gives the side length:

$$ \sqrt{36} = 6 $$

Step 2: Analyze the second grid

The second grid is a square with a side length of \(4\).
The total number of small unit squares inside is:

$$ 4 \times 4 = 16 $$

The square root of the total area gives the side length:

$$ \sqrt{16} = 4 $$

Step 3: Analyze the third grid

The third grid is a square with a side length of \(8\).
The total number of small unit squares inside is:

$$ 8 \times 8 = 64 $$

The square root of the total area gives the side length:

$$ \sqrt{64} = 8 $$

Answer:

• First grid (side length 6): \(\sqrt{36} = 6\)
• Second grid (side length 4): \(\sqrt{16} = 4\)
• Third grid (side length 8): \(\sqrt{64} = 8\)