# What is the square root of 57?

#### Understand the Problem

The question is asking for the square root of the number 57, which is a mathematical operation that finds a value that, when multiplied by itself, gives the original number.

The approximate value of $\sqrt{57}$ is $7.550$.

The square root of 57 is approximately $7.550$.

#### Steps to Solve

1. Identify the operation
We need to find the square root of 57. The square root can be represented as $\sqrt{57}$.

2. Estimate initial value
We should find two perfect squares that are closest to 57. The perfect squares are $49$ (which is $7^2$) and $64$ (which is $8^2$). This indicates that $\sqrt{57}$ lies between 7 and 8.

3. Use a calculator for more precision
Using a calculator to find $\sqrt{57}$ gives us a more precise value.

The calculated square root of 57 will give us the final result.

The square root of 57 is approximately $7.550$.

The square root of a number represents what value you need to multiply by itself to get that number. In this case, $7.550 \times 7.550 \approx 57$. This value is important in various fields such as statistics and physics.