Simplify Square Root of 5252

Here we will show you step-by-step how to simplify the square root of 5252. The square root of 5252 can be written as follows:


	√	5252

The √ symbol is called the radical sign. To simplify the square root of 5252 means to get the simplest radical form of √5252.

Step 1: List Factors
List the factors of 5252 like so:

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252

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

1, 4

Step 3: Divide
Divide 5252 by the largest perfect square you found in the previous step:

5252 / 4 = 1313

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5252 in its simplest form:


2	√	1313

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

Decimal Form
Square Root of 5252 in Decimal form rounded to nearest 5 decimals:

72.47068

Exponent Form
Square Root of 5252 written with Exponent instead of Radical:

5252^½ = 2 x 1313^½

Simplify Square Root of 5253
The answer to Simplify Square Root of 5252 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares