Squares and Square Roots:

A square is a number obtained by multiplying the number by itself.
Example: [tex]4^2 = 4 \times 4 = 16[/tex]

The square root of a number is the number that, when multiplied by itself, gives the original number.
Example: [tex]\sqrt{64} = \sqrt{8 \times 8} = \sqrt{8^2} = 8[/tex]



Answer :

Of course! Let's go through the problem step by step.

### Step 1: Calculate the square of 4
First, we need to find the square of the number 4.

- A square is obtained by multiplying the number by itself.
- Thus, the square of 4 is [tex]\(4 \times 4\)[/tex].

[tex]\[ 4^2 = 16 \][/tex]

So, the square of 4 is 16.

### Step 2: Calculate the square root of the square of 4
Next, we need to find the square root of the result obtained in step 1, which is 16.

- The square root of a number is the value that, when multiplied by itself, gives the original number.
- Thus, we need to find a number which, when multiplied by itself, gives 16.

[tex]\[ \sqrt{16} = 4 \][/tex]

So, the square root of 16 is 4.0 (Note: The result is often given as a floating-point number in many contexts).

### Step 3: Calculate the square root of 64
Finally, we calculate the square root of the number 64.

- The square root of a number is the value that, when multiplied by itself, gives the original number.
- Thus, we need to find a number which, when multiplied by itself, gives 64.

[tex]\[ \sqrt{64} = 8 \][/tex]

So, the square root of 64 is 8.0 (Again, presented as a floating-point number).

### Summary of Results
To summarize, the results we obtained are:
1. The square of 4 is [tex]\(16\)[/tex].
2. The square root of 16 is [tex]\(4.0\)[/tex].
3. The square root of 64 is [tex]\(8.0\)[/tex].

Thus, the final answers are [tex]\(16, 4.0,\)[/tex] and [tex]\(8.0\)[/tex].