Express in simplest radical form.
square root of, 45, end square root
45

To express \( \sqrt{45} \) in its simplest radical form, we can start by factoring 45.

\[
45 = 9 \times 5
\]

Now, take the square root of 9 since it is a perfect square:

\[
\sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5}
\]

Thus, the simplest radical form of \( \sqrt{45} \) is:

\[
3\sqrt{5}
\]

Would you like more details on simplifying radicals, or do you have any questions?

Here are 5 related questions for further practice:
1. Simplify \( \sqrt{75} \).
2. Simplify \( \sqrt{50} \).
3. Simplify \( \sqrt{18} \).
4. Simplify \( \sqrt{80} \).
5. Simplify \( \sqrt{72} \).

**Tip:** Always look for perfect squares when simplifying square roots to make the process easier!

Express in simplest radical form. square root of 45

Learn how to simplify the square root of 45 into its simplest radical form. This step-by-step solution covers key concepts like factoring, perfect squares, and properties of square roots. Ideal for students in Grades 6-8.

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