Simplify Square Root of 8525

Here we will show you step-by-step how to simplify the square root of 8525. The square root of 8525 can be written as follows:


	√	8525

The √ symbol is called the radical sign. To simplify the square root of 8525 means to get the simplest radical form of √8525.

Step 1: List Factors
List the factors of 8525 like so:

1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525

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

1, 25

Step 3: Divide
Divide 8525 by the largest perfect square you found in the previous step:

8525 / 25 = 341

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 8525 in its simplest form:


5	√	341

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Decimal Form
Square Root of 8525 in Decimal form rounded to nearest 5 decimals:

92.33093

Exponent Form
Square Root of 8525 written with Exponent instead of Radical:

8525^½ = 5 x 341^½

Simplify Square Root of 8526
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* List of Perfect Squares