The problem asks us to find the square root of 576. In mathematical terms, we need to evaluate $\sqrt{576}$.

1. Problem Description

The problem asks us to find the square root of

5

7

6. In mathematical terms, we need to evaluate $\sqrt{576}$.

2. Solution Steps

We are looking for a number which, when multiplied by itself, gives

5

7

6. We can approach this by trying to find factors of

5

7

6.

First, we can observe that 576 is an even number, so it's divisible by

2. $576 = 2 \times 288$

$288 = 2 \times 144$

$144 = 2 \times 72$

$72 = 2 \times 36$

$36 = 2 \times 18$

$18 = 2 \times 9$

$9 = 3 \times 3$

So, we can write 576 as:

$576 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 2^6 \times 3^2$

Taking the square root:

$\sqrt{576} = \sqrt{2^6 \times 3^2} = \sqrt{(2^3)^2 \times 3^2} = 2^3 \times 3 = 8 \times 3 = 24$

Alternatively, we can recognize that $20^2 = 400$ and $30^2 = 900$. Since 576 is between 400 and 900, the square root is between 20 and

3

0. We can try some numbers in that range.

$24 \times 24 = 576$

3. Final Answer

24