To solve the equation
\[ n^2 = 2.25, \]
we can take the square root of both sides:
\[ n = \pm \sqrt{2.25}. \]
Calculating the square root:
\[ \sqrt{2.25} = 1.5. \]
Thus, the solutions for \(n\) are
\[ n = 1.5 \quad \text{and} \quad n = -1.5. \]
Now, let's check each of the provided choices:
- Choice A: \(n = 1.1\) → Not a solution, since \(1.1^2 = 1.21\) which is not equal to \(2.25\).
- Choice B: \(n = -1.1\) → Not a solution, since \((-1.1)^2 = 1.21\) which is not equal to \(2.25\).
- Choice C: \(n = 1.4\) → Not a solution, since \(1.4^2 = 1.96\) which is not equal to \(2.25\).
- Choice D: \(n = -1.4\) → Not a solution, since \((-1.4)^2 = 1.96\) which is not equal to \(2.25\).
- Choice E: None of the above → This is correct because none of the choices provided are equal to the actual solutions \(1.5\) or \(-1.5\).
Therefore, the correct answer is:
Choice E: None of the above.