document.write( "Question 132574This question is from textbook
\n" ); document.write( ": square root of 150 to the nearest tenth \n" ); document.write( "

Algebra.Com's Answer #96888 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
12 * 12 = 144\r
\n" ); document.write( "\n" ); document.write( "13 * 13 = 169\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"144+%3C+150+%3C+169\"$ , so $\"12+%3C+sqrt%28150%29+%3C+13\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"150+-+144+=+6\"$ and $\"169+-+144+=+25\"$ , so $\"sqrt%28150%29\"$ is close to $\"6%2F25\"$ of the way from 12 to 13.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"6%2F25=.24\"$ , so $\"sqrt%28150%29\"$ is very close to 12.24.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"12.2%5E2=148.84\"$ , $\"150+-+148.84+=+1.16\"$
\n" ); document.write( " $\"12.3%5E2=151.29\"$ , $\"151.29+-+150+=+1.29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now we know that $\"12.2+%3C+sqrt%28150%29+%3C+12.3\"$ and that 12.2 is closer to $\"sqrt%28150%29\"$ than 12.3, so 12.2 is the square root of 150 to the nearest 10th.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Easier way:
\n" ); document.write( "Press 1, 5, 0, and the square root key on your calculator. Round the answer to the nearest tenth. \n" ); document.write( "

\n" );