Answer
The answer is below.
Work Step by Step
In order to do this, one could identify easier square roots that are near the number. For instance, we know that 40 squared is 1600, so we see that the number should be a bit below 40. Thus, we would guess that the square root of 1450 to the nearest whole number is around 37, 38, or 39. (The actual answer is 38.)