SOLUTION: Hello, I haven't done any work on this problem because I don't understand the explaination in the book. (Saxon) Can you please help me? Thank you! Question: Between which 2

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Question 47151: Hello, I haven't done any work on this problem because I don't understand the explaination in the book. (Saxon) Can you please help me? Thank you!
Question:
Between which 2 consecutive whole numbers does the square root of 250 lie? The square root sign has a little "5" above it's arm on the left.

Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
You are being asked to estimate the value of the fifth root of 250.
So you are looking for the integer, n, which, when raised to the fifth power, is close to 250.
You can do this with a calculator:
2%5E5+=+32
3%5E5+=+243
4%5E5+=+1024
So, the fifth root of 250 lies between the fifth root of 243 (3) and the fifth root of 1024 (4). So the fifth root of 250 lies between 3 and 4.
If you are not permitted to use a calculator on this problem, then do the following:
2%5E5+=+2%2A2%2A2%2A2%2A2 = 32
3%5E5+=+3%2A3%2A3%2A3%2A3 = 243
4%5E5+=+4%2A4%2A4%2A4%2A4 = 1024