book Maths Puzzle Numerical Ability

In a + bi form, what is (2 + i sqrt 3)^2

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I need a theorem for congruence of matrix(a big one) In 1950, a gallon of gas cost 25 cents. In 1986, the cost had risen to $1.02 per gallon. Assume that the cost of gas varies exponetially with time.

a) Define the variables, writ