document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #222394 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Please get a knowleageable tutor for your son.
\n" ); document.write( "Math get harder and He deserves to learn.
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\n" ); document.write( "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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\n" ); document.write( "The index tells you what root is being expressed.
\n" ); document.write( "If there is no index on the radical sign the root is \"square root\".
\n" ); document.write( "If there is an index of 3 the root requested is \"cube root\"
\n" ); document.write( "Then you have 4th root, then 5th root etc.
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\n" ); document.write( "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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\n" ); document.write( "cbrt(27)< cbrt(29) < cbrt(64)
\n" ); document.write( "3 < cbrt(29) < 4
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\n" ); document.write( "4thrt(1) < 4thrt(15) < 4thrt(16)
\n" ); document.write( "1 < 4thrt(15) < 2
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\n" ); document.write( "Examples:
\n" ); document.write( "sqrt(16) = 4
\n" ); document.write( "cbrt(27) = 3
\n" ); document.write( "4th root(16) = 2
\n" ); document.write( "5th root(32) = 2
\n" ); document.write( "etc.
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\n" ); document.write( "You can also find a myriad of information on math topics
\n" ); document.write( "using Google on the web.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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