exam Maths Puzzle Numerical Ability

. Find the slope of the line that passes through the points (2, 3) and (5, 8).

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I have worked part of this problem, now I am stumped. How do I write sqrt of -108 as an imaginary number? The prime factors I came up with are 3*3*3*2*2.
Thank you so much FIND THE RANGE OF VALUES OF a(an element of R)for which z+a*(mod of (z-1))+2i=0,where z=x+iy has a solution.also find the solution