Simplify Square Root of 8725

Here we will show you step-by-step how to simplify the square root of 8725. The square root of 8725 can be written as follows:


	√	8725

The √ symbol is called the radical sign. To simplify the square root of 8725 means to get the simplest radical form of √8725.

Step 1: List Factors
List the factors of 8725 like so:

1, 5, 25, 349, 1745, 8725

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

1, 25

Step 3: Divide
Divide 8725 by the largest perfect square you found in the previous step:

8725 / 25 = 349

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 8725 in its simplest form:


5	√	349

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Decimal Form
Square Root of 8725 in Decimal form rounded to nearest 5 decimals:

93.40771

Exponent Form
Square Root of 8725 written with Exponent instead of Radical:

8725^½ = 5 x 349^½

Simplify Square Root of 8726
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* List of Perfect Squares