Simplify Square Root of 4825

Here we will show you step-by-step how to simplify the square root of 4825. The square root of 4825 can be written as follows:


	√	4825

The √ symbol is called the radical sign. To simplify the square root of 4825 means to get the simplest radical form of √4825.

Step 1: List Factors
List the factors of 4825 like so:

1, 5, 25, 193, 965, 4825

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 25

Step 3: Divide
Divide 4825 by the largest perfect square you found in the previous step:

4825 / 25 = 193

Step 4: Calculate
Calculate the square root of the largest perfect square:

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4825 in its simplest form:


5	√	193

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 4825 in Decimal form rounded to nearest 5 decimals:

69.46222

Exponent Form
Square Root of 4825 written with Exponent instead of Radical:

4825^½ = 5 x 193^½

Simplify Square Root of 4826
The answer to Simplify Square Root of 4825 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares