Simplify Square Root of 9225

Here we will show you step-by-step how to simplify the square root of 9225. The square root of 9225 can be written as follows:


	√	9225

The √ symbol is called the radical sign. To simplify the square root of 9225 means to get the simplest radical form of √9225.

Step 1: List Factors
List the factors of 9225 like so:

1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225

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

1, 9, 25, 225

Step 3: Divide
Divide 9225 by the largest perfect square you found in the previous step:

9225 / 225 = 41

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9225 in its simplest form:


15	√	41

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Decimal Form
Square Root of 9225 in Decimal form rounded to nearest 5 decimals:

96.04686

Exponent Form
Square Root of 9225 written with Exponent instead of Radical:

9225^½ = 15 x 41^½

Simplify Square Root of 9226
The answer to Simplify Square Root of 9225 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares