exam Maths Puzzle Numerical Ability

identify the vertex of the parabola
y = x squared + 3
also
y = 3x squared + 30x + 77

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exam Other Question

I need to check these four problems, can anyone help?

3^sqrt(-27)

sqrt(-3x)^2
(with the square inside the square root sign)

sqrt(-4)

3^sqrt(-1/8)
Hi, I am having some trouble with these two problems.Can someone please help me.
1. Rationalize the denominator:
2____
√[3] + √[2]
2. Perform the indicated