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\begin{tabular}{l|l}\hline 5. & EXPONENTS \\ \hline & Calculate \( (\sqrt{5})^{2}+\sqrt{16} \)\end{tabular}

Ask by Pritchard Carroll. in South Africa
Jan 26,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The result of \( (\sqrt{5})^{2} + \sqrt{16} \) is 9.

Solution

To solve the expression: \[ (\sqrt{5})^{2} + \sqrt{16} \] **Step 1: Evaluate \((\sqrt{5})^{2}\)** \[ (\sqrt{5})^{2} = \sqrt{5} \times \sqrt{5} = 5 \] **Step 2: Evaluate \(\sqrt{16}\)** \[ \sqrt{16} = 4 \] **Step 3: Add the results from Step 1 and Step 2** \[ 5 + 4 = 9 \] **Final Answer:** \(9\)

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Mind Expander

To calculate \( (\sqrt{5})^{2} + \sqrt{16} \), we start with the first part. The square root of 5 squared, \( (\sqrt{5})^{2} \), simplifies to just 5. Now, for the second part, the square root of 16 is 4. So, adding these together gives us \( 5 + 4 = 9 \). Thus, the answer is \( 9 \).

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