Find the square root of 130.

To find the square root of 130, we can follow these steps:

Estimate the square root:
We know that the square of 11 is 121 (since 11 * 11 = 121), and the square of 12 is 144 (since 12 * 12 = 144).
Since 130 lies between 121 and 144, the square root of 130 is between 11 and 12.

Refining the estimate:
We can try a more accurate estimate by finding a decimal value. Let's try 11.4:

11.4 * 11.4 = 130.96 (This is slightly greater than 130).
Now let's try 11.3:

11.3 * 11.3 = 127.69 (This is slightly less than 130).
So, the square root of 130 is approximately between 11.3 and 11.4.

Final answer:
To get a more precise value, we can use a calculator or a more detailed method such as long division or the Newton-Raphson method. Using a calculator, the square root of 130 is approximately 11.4017.

Thus, the square root of 130 is approximately 11.4017.