Question
Simplify 13V 27. (1 point)
•
39/3
• 16V3
• 39
This radical expression is already fully simplified.
•
39/3
• 16V3
• 39
This radical expression is already fully simplified.
Answers
GPT-4o mini
To simplify the expression \( 13V27 \), let's first clarify what \( V27 \) means. Typically, \( V \) is used to denote an expression involving a square root (e.g. \( \sqrt{27} \)).
So, let's rewrite \( 13V27 \) as \( 13\sqrt{27} \).
Next, we simplify \( \sqrt{27} \):
\[
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}
\]
Now, substitute back into the original expression:
\[
13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3}
\]
So, \( 13\sqrt{27} \) simplifies to \( 39\sqrt{3} \).
The correct answer choice corresponds to this simplified expression:
- None of the provided answers exactly match "39\sqrt{3}", but from the provided options, you can see that \( 39/3 \) simplifies to \( 13 \) and does not match, \( 39 \) does not match, and \( 16V3 \) does not match either.
Thus the expression \( 13\sqrt{27} = 39\sqrt{3} \) is fully simplified, and that is what you would note.
**Final Answer**: This radical expression is already fully simplified.
So, let's rewrite \( 13V27 \) as \( 13\sqrt{27} \).
Next, we simplify \( \sqrt{27} \):
\[
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}
\]
Now, substitute back into the original expression:
\[
13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3}
\]
So, \( 13\sqrt{27} \) simplifies to \( 39\sqrt{3} \).
The correct answer choice corresponds to this simplified expression:
- None of the provided answers exactly match "39\sqrt{3}", but from the provided options, you can see that \( 39/3 \) simplifies to \( 13 \) and does not match, \( 39 \) does not match, and \( 16V3 \) does not match either.
Thus the expression \( 13\sqrt{27} = 39\sqrt{3} \) is fully simplified, and that is what you would note.
**Final Answer**: This radical expression is already fully simplified.