Simplify Square Root of 8625

Here we will show you step-by-step how to simplify the square root of 8625. The square root of 8625 can be written as follows:


	√	8625

The √ symbol is called the radical sign. To simplify the square root of 8625 means to get the simplest radical form of √8625.

Step 1: List Factors
List the factors of 8625 like so:

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625

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

1, 25

Step 3: Divide
Divide 8625 by the largest perfect square you found in the previous step:

8625 / 25 = 345

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 8625 in its simplest form:


5	√	345

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Decimal Form
Square Root of 8625 in Decimal form rounded to nearest 5 decimals:

92.87088

Exponent Form
Square Root of 8625 written with Exponent instead of Radical:

8625^½ = 5 x 345^½

Simplify Square Root of 8626
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* List of Perfect Squares