document.write( "Question 256828: how do you simplify the square root of 1184 \n" ); document.write( "

Algebra.Com's Answer #188861 by richwmiller(17219) $\"\"$ $\"About$

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break it up into its prime factors (lowest factors possible)
\n" ); document.write( "1184 of course is divisible by 2 but is divisible 5 times by two and once by 37
\n" ); document.write( "2^5x37
\n" ); document.write( "1184/2=592 2^1 =2
\n" ); document.write( "592/2=296 2^2 =4
\n" ); document.write( "296/2=148 2^3 =8
\n" ); document.write( "148/2=74 2^4 =16
\n" ); document.write( "74/2-37 2^5 =32
\n" ); document.write( "37 has no factors
\n" ); document.write( "break up the 2's into pairs
\n" ); document.write( "2*2=2^2
\n" ); document.write( "we can break it into 2^4 and get the square root =2^2=4
\n" ); document.write( "so we get sqrt(1184)=4sqrt(2*37)= $\"4sqrt%2874%29\"$ \n" ); document.write( "

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