115
5x23
/ /
5 x 23=115
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Factor tree of 40: 40 20,2 10,2,2 5,2,2,2
Here is a factor tree of eight: 8 / \ 4 2 / \ 2 2
The GCF is 5.
Since 115 ends in five, it will divide by '5'. Hence '5' is one of the factors. 5)115 = 23 Hence '23' is the other factor. Since '23' is a prime number, there are no other factors for 115 , but 5, and 23. except '1' & 115'.
You can simplify the term by approximation! Here is the approach: Let y = √x = x^(½). Then, dy/dx = ½ * x^(-½) = 1/(2√x) Select 115² to be x. Then, we obtain: y = 115 dy/dx = 1/(2 * 115) = 1 / 230 Therefore, we obtain this equation: y - 115 = 1/230 * (x - 115²) If x = 13144, then we have: y - 115 = 1/230 * (13144 - 115²) y = 1/230 * (13144 - 115²) + 115 ≈ 114.65 OR What you can do is to factor out each term by term and extract the perfect square factor out of the √. For instance: √(13144) = √(4 * 3286) = 2√3286