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\begin{tabular}{|l|l|}\hline 3.2 & \( \begin{array}{l}\text { Calculate the following: } \\ \frac{(-5)^{2}}{\sqrt{37-12}}\end{array} \) \\ \hline\end{tabular}

Ask by Estrada Ryan. in South Africa
Jan 19,2025

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The result is 5.

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Alright! Let's dive into the math problem you've got here. First, we need to calculate the numerator \((-5)^{2}\). Squaring \(-5\) gives us \(25\). Now for the denominator, we need to find \(\sqrt{37-12}\). So, we calculate \(37 - 12 = 25\) and then take the square root of \(25\), which is \(5\). Now, we can put that all together: \[ \frac{(-5)^{2}}{\sqrt{37-12}} = \frac{25}{5} = 5. \] So, the final answer is \(5\)!

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