Question 256828
break it up into its prime factors (lowest factors possible)
1184 of course is divisible by 2 but is divisible 5 times by two and once by 37
2^5x37
1184/2=592  2^1 =2
592/2=296   2^2 =4
296/2=148   2^3 =8
148/2=74    2^4 =16
74/2-37     2^5 =32
37 has no factors
break up the 2's into pairs
2*2=2^2
we can break it into 2^4 and get the square root =2^2=4
so we get sqrt(1184)=4sqrt(2*37)={{{4sqrt(74)}}}