Simplify Square Root of 9252

Here we will show you step-by-step how to simplify the square root of 9252. The square root of 9252 can be written as follows:


	√	9252

The √ symbol is called the radical sign. To simplify the square root of 9252 means to get the simplest radical form of √9252.

Step 1: List Factors
List the factors of 9252 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252

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

1, 4, 9, 36

Step 3: Divide
Divide 9252 by the largest perfect square you found in the previous step:

9252 / 36 = 257

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9252 in its simplest form:


6	√	257

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

Decimal Form
Square Root of 9252 in Decimal form rounded to nearest 5 decimals:

96.18732

Exponent Form
Square Root of 9252 written with Exponent instead of Radical:

9252^½ = 6 x 257^½

Simplify Square Root of 9253
The answer to Simplify Square Root of 9252 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares