Simplify Square Root of 8925

Here we will show you step-by-step how to simplify the square root of 8925. The square root of 8925 can be written as follows:


	√	8925

The √ symbol is called the radical sign. To simplify the square root of 8925 means to get the simplest radical form of √8925.

Step 1: List Factors
List the factors of 8925 like so:

1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925

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

1, 25

Step 3: Divide
Divide 8925 by the largest perfect square you found in the previous step:

8925 / 25 = 357

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 8925 in its simplest form:


5	√	357

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Decimal Form
Square Root of 8925 in Decimal form rounded to nearest 5 decimals:

94.47222

Exponent Form
Square Root of 8925 written with Exponent instead of Radical:

8925^½ = 5 x 357^½

Simplify Square Root of 8926
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* List of Perfect Squares