Express 16, start superscript, one half, end superscript16 
2
1
​
 
  in simplest radical form.

To express \( 16^{\frac{1}{2}} \) in simplest radical form, follow these steps:

### Step 1: Rewrite using the square root
The exponent \(\frac{1}{2}\) represents the square root. So:

\[
16^{\frac{1}{2}} = \sqrt{16}
\]

### Step 2: Evaluate the square root
The square root of 16 is:

\[
\sqrt{16} = 4
\]

Thus, \( 16^{\frac{1}{2}} = 4 \).

The simplest radical form of \( 16^{\frac{1}{2}} \) is \( 4 \).

Would you like more details on radical expressions or have any questions? 

Here are five related questions:
1. What is the simplest radical form of \( 25^{\frac{1}{2}} \)?
2. How do you simplify \( 81^{\frac{1}{2}} \)?
3. What is \( 64^{\frac{1}{3}} \) in simplest form?
4. Can you express \( 100^{\frac{1}{2}} \) as a radical?
5. How do fractional exponents relate to radicals?

**Tip**: Fractional exponents indicate roots—\( a^{\frac{1}{n}} \) equals the nth root of \( a \).

Express 16^{1/2} in simplest radical form.

Learn how to simplify 16^{1/2} into its simplest radical form with a clear, step-by-step explanation. This problem covers concepts such as fractional exponents and square roots, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation