document.write( "Question 536450: what are the steps to plot square root of 14 on a number line ? \n" ); document.write( "

Algebra.Com's Answer #352356 by fcabanski(1391) $\"\"$ $\"About$

You can put this solution on YOUR website!
Step 1 list the numbers and their squares.

\n" ); document.write( " $\"1%5E2=2\"$

\n" ); document.write( " $\"2%5E2=4\"$

\n" ); document.write( " $\"3%5E2=9\"$

\n" ); document.write( " $\"4%5E2=16\"$

\n" ); document.write( " $\"5%5E2=25\"$

\n" ); document.write( "Notice that the value in question isn't one of these perfect squares. But it does lie between two of them.

\n" ); document.write( " $\"9%3C14%3C16\"$ Thus their square roots are in the same relationship.

\n" ); document.write( " $\"sqrt%289%29%3Csqrt%2814%29%3Csqrt%2816%29\"$

\n" ); document.write( "Which means $\"3%3Csqrt%2814%29%3C4\"$

\n" ); document.write( "Since 14 is closer to 16 than to 9, $\"sqrt%2814%29\"$ will be closer to 4 than to 3.

\n" ); document.write( "Plot it somewhere between 3 and 4, closer to 4 than to 3.
\n" ); document.write( "

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