SOLUTION: I homeschool my son - 9th grader - we have just started Expressing square roots and there is a part that I am totally lost in. I do not remember or understand index's. How do I

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Question 310951: I homeschool my son - 9th grader - we have just started Expressing square roots and there is a part that I am totally lost in. I do not remember or understand index's. How do I explain to him What an index of a square root is - here is one question: What two integers are these radicals between. The index is 3 and the square root is 29. Or the index is 4 and the square root is 15. Thank you. Joan
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please get a knowleageable tutor for your son.
Math get harder and He deserves to learn.
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I homeschool my son - 9th grader - we have just started Expressing square roots and there is a part that I am totally lost in. I do not remember or understand index's. How do I explain to him What an index of a square root is - here is one question: What two integers are these radicals between. The index is 3 and the square root is 29. Or the index is 4 and the square root is 15. Thank you. Joan
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The index tells you what root is being expressed.
If there is no index on the radical sign the root is "square root".
If there is an index of 3 the root requested is "cube root"
Then you have 4th root, then 5th root etc.
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What two integers are these radicals between. The index is 3 and the square root is 29. Or the index is 4 and the square root is 15.
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cbrt(27)< cbrt(29) < cbrt(64)
3 < cbrt(29) < 4
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4thrt(1) < 4thrt(15) < 4thrt(16)
1 < 4thrt(15) < 2
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Examples:
sqrt(16) = 4
cbrt(27) = 3
4th root(16) = 2
5th root(32) = 2
etc.
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You can also find a myriad of information on math topics
using Google on the web.
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Cheers,
Stan H.