Simplify Square Root of 8225

Here we will show you step-by-step how to simplify the square root of 8225. The square root of 8225 can be written as follows:


	√	8225

The √ symbol is called the radical sign. To simplify the square root of 8225 means to get the simplest radical form of √8225.

Step 1: List Factors
List the factors of 8225 like so:

1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225

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

1, 25

Step 3: Divide
Divide 8225 by the largest perfect square you found in the previous step:

8225 / 25 = 329

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 8225 in its simplest form:


5	√	329

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Decimal Form
Square Root of 8225 in Decimal form rounded to nearest 5 decimals:

90.69179

Exponent Form
Square Root of 8225 written with Exponent instead of Radical:

8225^½ = 5 x 329^½

Simplify Square Root of 8226
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* List of Perfect Squares