Simplify 13√27

3 answers

To simplify \( 13\sqrt{27} \), we start by simplifying \( \sqrt{27} \).

We can break down \( 27 \) as follows:

\[ 27 = 9 \times 3 \]

Thus, we can rewrite the square root:

\[ \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} \]

Since \( \sqrt{9} = 3 \), we have:

\[ \sqrt{27} = 3\sqrt{3} \]

Now we can substitute this back into the original expression:

\[ 13\sqrt{27} = 13 \times 3\sqrt{3} = 39\sqrt{3} \]

Therefore, the simplified form of \( 13\sqrt{27} \) is:

\[ \boxed{39\sqrt{3}} \]

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