The square root of 126 is approximately 11.225.
To explain further, the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, since 11.225 x 11.225 is close to 126, we can say that 11.225 is the square root of 126.
Alternatively, 126 can be broken down into its prime factors: 126 = 2 x 3^2 x 7. The square root of 126 can thus be expressed as:
- √126 = √(2 x 3^2 x 7)
- √126 = 3 * √(2 * 7)
Since 2 and 7 are prime numbers and do not have perfect squares, we can approximate the square root to get a better numerical value.