**Simplifying the Fraction 625 1/4 in Radical Form**

When dealing with fractions, it's often useful to express them in their simplest form. In this article, we'll explore how to simplify the fraction 625 1/4 in radical form.

**What is a Radical Form?**

A radical form is a way of expressing a value using roots, such as square roots, cube roots, and so on. It's a simplified way of representing a number that involves roots.

**Simplifying the Fraction 625 1/4**

To simplify the fraction 625 1/4, we need to convert it into a mixed number. A mixed number is a combination of a whole number and a fraction.

**Step 1: Convert the Mixed Number**

The mixed number equivalent of 625 1/4 is:

625 1/4 = 2501/4

**Step 2: Simplify the Fraction**

To simplify the fraction 2501/4, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 2501 and 4 is 1, so we can't simplify the fraction further.

**Step 3: Express in Radical Form**

Now, we can express the fraction 2501/4 in radical form.

2501/4 = √(2501) / √4

= √2501 / 2

Therefore, the simplified radical form of the fraction 625 1/4 is:

**√2501 / 2**

**Conclusion**

In conclusion, we've successfully simplified the fraction 625 1/4 in radical form. By following the steps outlined above, you can simplify any fraction into its radical form.

Remember, simplifying fractions and expressing them in radical form can make them easier to work with and understand.