# SOLUTION: Please help me. I have no idea what this means. Approximate square root 31 by giving the two whole numbers that it lies between Thanks so much for your help.

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: Please help me. I have no idea what this means. Approximate square root 31 by giving the two whole numbers that it lies between Thanks so much for your help.      Log On

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 Question 115479: Please help me. I have no idea what this means. Approximate square root 31 by giving the two whole numbers that it lies between Thanks so much for your help.Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Approximate square root 31 sqrt(31) is between 5 & 6 Guess: 5.5 Divide: 31/5.5=5.6 Average:(5.5+5.6)/2=5.55 Divide: 31/5.55=5.586 average: (5.55+5.586)/2=5.705 divide: 31/5.705=5.4329 average: (5.4329+5.705)/2=5.5675 divide:31/5.5675=5.56803 average: (5.5675+5.56803)/2=5.56777 . You can go on indefinately dividing and averaging, getting a closer approximation of the answer. Since all square roots that are not integers are irrational numbers we will never find an exact answer. . My calculator finds: 5.56776... so we did pretty well. . Ed