Question
Simplify 13−−√27(1 point)
Responses
39
39
This radical expression is already fully simplified.
This radical expression is already fully simplified.
393–√
39 start root 3 end root
163–√
Responses
39
39
This radical expression is already fully simplified.
This radical expression is already fully simplified.
393–√
39 start root 3 end root
163–√
Answers
GPT-4o mini
To simplify the expression \( 13\sqrt{27} \), we first simplify the square root:
1. \( \sqrt{27} \) can be broken down into \( \sqrt{9 \times 3} \) which is \( \sqrt{9} \times \sqrt{3} = 3\sqrt{3} \).
So, we can rewrite the expression:
\[
13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3}.
\]
Thus, the simplified form is \( 39\sqrt{3} \).
Among the response options you provided, the correct answer is:
\[
39\sqrt{3}.
\]
1. \( \sqrt{27} \) can be broken down into \( \sqrt{9 \times 3} \) which is \( \sqrt{9} \times \sqrt{3} = 3\sqrt{3} \).
So, we can rewrite the expression:
\[
13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3}.
\]
Thus, the simplified form is \( 39\sqrt{3} \).
Among the response options you provided, the correct answer is:
\[
39\sqrt{3}.
\]