Question

If f(z)=z^2 - 3√z - 1 , then f(3√2) is equal to...(a)6√2-1 (b)0 (c)3√2 -1 (d) -1

Answer 1

Answer:

To find f(3 root 2) we put z = 3 root 2 in the equation.

$f(3\sqrt{2} )= z^{2} -3\sqrt{z} -1 = (3\sqrt{2} )^{2}-3\sqrt{3\sqrt{2} } - 1\\= 18 - 3\sqrt{3\sqrt{2} } - 1\\= 17 - 3\sqrt{3\sqrt{2} }$

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