Question
\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:** \(9\)
Reviewed and approved by the UpStudy tutoring team
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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 \( 9 \).