Answer:
Approx. 7.415
Step-by-step explanation:
Focusing on 55, we see that the first perfect square smaller than 55 is 49 and the first larger than 55 is 64. Since √49 = 7 and √64 = 8. √55 lies between these two, so its value is between 7 and 8.
Of course you could use a calculator to find √55.
Another way of finding √55 would be to guess at the square root and continue refining your results until you're satisfied with the accuracy of your answer. Examples: Choose r = 7.4 as a possible root of √55. 7.4^ = 54.8 (which is remarkably close to 55). Try 7.41^2: 7.41^2 = 54.9. Try 7.415^2; it's 54.98, only 0.02 different from the "exact" calculator square root of 55.
