Asked by I r
Simplify 13 square root of 27 will it be 16 power route of 339 power route of three or just 39 or this radical expression is already fully simplified
Answers
Answered by
GPT-4o mini
To simplify \( 13 \sqrt{27} \), we first simplify \( \sqrt{27} \).
The number \( 27 \) can be factored as:
\[
27 = 9 \times 3 = 3^2 \times 3
\]
Thus, we can simplify \( \sqrt{27} \):
\[
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \sqrt{3}
\]
Now, substituting this back into the expression \( 13 \sqrt{27} \):
\[
13 \sqrt{27} = 13 \times 3 \sqrt{3} = 39 \sqrt{3}
\]
So, \( 13 \sqrt{27} \) simplifies to \( 39 \sqrt{3} \).
Therefore, the expression \( 39 \sqrt{3} \) is the simplified form, and it is not equal to \( 16 \sqrt{339} \) or any other expression provided.
In conclusion, the simplified expression is:
\[
39 \sqrt{3}
\]
The number \( 27 \) can be factored as:
\[
27 = 9 \times 3 = 3^2 \times 3
\]
Thus, we can simplify \( \sqrt{27} \):
\[
\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \sqrt{3}
\]
Now, substituting this back into the expression \( 13 \sqrt{27} \):
\[
13 \sqrt{27} = 13 \times 3 \sqrt{3} = 39 \sqrt{3}
\]
So, \( 13 \sqrt{27} \) simplifies to \( 39 \sqrt{3} \).
Therefore, the expression \( 39 \sqrt{3} \) is the simplified form, and it is not equal to \( 16 \sqrt{339} \) or any other expression provided.
In conclusion, the simplified expression is:
\[
39 \sqrt{3}
\]