Let's simplify the expression step by step:
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First, simplify \( \sqrt{64} \): \[ \sqrt{64} = 8 \] So, we have: \[ 3 + 3(22 + 5\sqrt{1}) \] Since \( \sqrt{1} = 1 \), we can simplify further: \[ 5\sqrt{1} = 5 \quad \Rightarrow \quad 22 + 5 = 27 \] Now, substituting this value back into the expression: \[ 3(27) = 81 \]
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Now, combining everything: \[ 8 + 81 = 89 \]
Since none of the provided responses (13, 17, 21, 31) equal to 89, let's double-check the expression and see if there were any mistakes. If \( \sqrt{64} \) was correctly interpreted and \( (22 + 5) \) is as follows:
- It could mean \( (22 + 5\sqrt{}) \) involving square roots, but without the specific root to evaluate further, we're led back to the earlier simplification. Without ambiguity for calculation, the right answer does not fit the responses given.
Confirming if you need to re-check the entire expression or clarify variables. But based on the initial expression, the final simplified result is indeed \( 89 \). However, I have no corresponding options that it fits.