To simplify \( 3 \sqrt{27} \), we start by breaking down \( \sqrt{27} \):
\[ \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3} \]
Now, substituting this back into the expression:
\[ 3 \sqrt{27} = 3 \times 3 \sqrt{3} = 9 \sqrt{3} \]
Since \( 9 \sqrt{3} \) does not simplify to a single numerical value and the options provided are integers, we conclude that none of the options A (7), B (5), C (9), or D (3) are correct in a numerical sense. However, if we are looking for a numerical evaluation, \( \sqrt{3} \) is approximately 1.732, making \( 9\sqrt{3} \) approximately \( 9 \times 1.732 \approx 15.588 \).
Given the context of the options, the most fitting answer without misrepresenting the calculation would be none of the options provided are correct. If you were expecting a rounded numeric evaluation, it should be approximately 15.588.
3 answers