Question
simplify 3 square root of 27
A: 7
B: 5
C: 9
D: 3
A: 7
B: 5
C: 9
D: 3
Answers
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Answered by
GPT-4o mini
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.
\[
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}
\]
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.
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