Which square root value is approximately equal to 2.65?

To determine which square root value is approximately equal to 2.65, we can estimate the square roots of the options provided.

The square root of 5 is approximately 2.24. The square root of 6 is around 2.45. The square root of 7 is about 2.65, which aligns closely with the target value. Meanwhile, the square root of 8 is approximately 2.83.

Thus, the square root of 7 is the value that best matches 2.65. This inference comes from understanding that the square root function increases as the input value increases, leading us to identify which of the options yields a value nearest to 2.65.