Express in simplest radical form.
square root of, 9, x, to the power 10 , end square root
9x
10

​

Answer
Multiple Choice Answers
square root of, 9, x, to the power 10 , end square root
9x
10

​

3, square root of, x, to the power 10 , end square root3
x
10

​

3, x, to the power 5 3x
5

x, to the power 5 , square root of, 9, end square rootx
5

9
​

Let's break down the expression \(\sqrt{9x^{10}}\):

### Step 1: Simplify the square root of the constant.
\[
\sqrt{9} = 3
\]

### Step 2: Simplify the square root of \(x^{10}\).
When taking the square root of \(x^{10}\), you are effectively dividing the exponent by 2:
\[
\sqrt{x^{10}} = x^{10/2} = x^5
\]

### Step 3: Combine the results.
So, the simplified form is:
\[
\sqrt{9x^{10}} = 3x^5
\]

This matches the answer choice:
\[
3x^5
\]

### Answer:
The correct answer is: \(3x^5\)

Would you like more details or have any other questions?

Here are 5 related questions for practice:
1. Simplify \(\sqrt{16x^{8}}\).
2. Simplify \(\sqrt{25x^{12}}\).
3. Express \(\sqrt{4x^{14}}\) in simplest form.
4. What is \(\sqrt{36y^6}\)?
5. Simplify \(\sqrt{49x^{16}}\).

**Tip:** When simplifying square roots involving exponents, always divide the exponent by 2. If the exponent is odd, separate the variable into two parts: one that has an even exponent and one that does not.

Express in simplest radical form: square root of 9x^10.

Learn how to simplify the radical expression √(9x^10). This solution demonstrates the steps to break down the square root of constants and variables with exponents, using exponent rules. Ideal for students in Grades 8-10.

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