Express in simplest radical form.
square root of, 27, end square root
27

The square root of 27 can be simplified by factoring 27 into its prime factors.

\[
\sqrt{27} = \sqrt{3^3} = \sqrt{3^2 \times 3}
\]

Now, you can take the square root of \(3^2\) (which is 9) out of the radical:

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

So, the simplest radical form of \(\sqrt{27}\) is \(3\sqrt{3}\).

Would you like more details or have any other questions?

Here are 5 related questions:
1. How would you simplify \(\sqrt{72}\)?
2. What is the value of \( \sqrt{12} \) in simplest radical form?
3. How do you simplify \( \sqrt{50} \)?
4. Can you simplify \( \sqrt{18} \)?
5. What is the simplified form of \( \sqrt{75} \)?

**Tip:** When simplifying square roots, look for perfect squares (like 4, 9, 16, etc.) within the number to factor out.

Express in simplest radical form. square root of 27.

Learn how to simplify the square root of 27 using prime factorization. This step-by-step guide shows the process of breaking down the square root and finding the simplest radical form: 3√3. Suitable for students in Grades 6-8 learning how to work with square roots.

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