How do you simplify √0.5?

To simplify √0.5, you can follow these steps:

Step-by-Step Simplification

1. Rewrite the Square Root

First, express 0.5 as a fraction:

• 0.5 = 1/2

2. Apply the Square Root Property

Now, use the property of square roots:

• √(1/2) = √1 / √2

3. Simplify Further

Since √1 equals 1, you have:

• √(1/2) = 1 / √2

4. Rationalize the Denominator

To make the expression neater, multiply the numerator and denominator by √2:

• (1 * √2) / (√2 * √2) = √2 / 2

Your Final Answer

Thus, the simplified form of √0.5 is:

√2 / 2