exam Maths Puzzle Numerical Ability

If cotA + cotB + cotC=sqrt3 then prove that the triangle is equilateral.

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exam Other Question

factoring: quadratic equations and completing the square
x^2-3x, piex^2+3pie, sqroot2 x^2+2x (for this last equation the x^2 is not inside the sqroot) Multiply the Algebraic Fraction and Reduce to lowest terms.
x^2-3x-4*x^2-3x-10
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x^2+4x+3*x^2+x-20