exam Maths Puzzle Numerical Ability

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

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exam Other Question

o.k. o.k. last one today I promise!

Use multiplying by 1 to find an expression equivalent to 16/7 with a denominator of 28x.
Do not simplify type a fraction
Simpliy: This is so complicated please help.

2/z^2 - 3/2 / 2/5z^2 + 1/3z