To simplify the square root of 74, we need to determine if 74 has any perfect square factors. A perfect square is a number that is the square of an integer.
First, let’s list the factors of 74:
- 1 × 74 = 74
- 2 × 37 = 74
From the factors listed above, we can see that 74 does not have any perfect square factors other than 1. Since 74 is not a perfect square and does not have any perfect square factors other than 1, the square root of 74 cannot be simplified further.
Therefore, the simplified form of the square root of 74 is:
√74
This is the simplest form of the square root of 74.