document.write( "Question 499241: whats is the largest integer whose cube is less than 500? \n" ); document.write( "

Algebra.Com's Answer #337500 by oberobic(2304) $\"\"$ $\"About$

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To solve inequalities, first solve the equality.
\n" ); document.write( "x^3 = 500
\n" ); document.write( "x = 500^(1/3)
\n" ); document.write( "Using a a calculator we find:
\n" ); document.write( "x = 7.93700526
\n" ); document.write( ".
\n" ); document.write( "Reviewing the question, we're looking for the largest integer whose cube is less than 500.
\n" ); document.write( "Obviously, 8^3 is > 500.
\n" ); document.write( "In fact, it is 512.
\n" ); document.write( ".
\n" ); document.write( "So, we conclude the largest integer whose cube is less than 500 must be 7.
\n" ); document.write( "7^3 = 343.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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