Simplify Square Root of 8200

Here we will show you step-by-step how to simplify the square root of 8200. The square root of 8200 can be written as follows:


	√	8200

The √ symbol is called the radical sign. To simplify the square root of 8200 means to get the simplest radical form of √8200.

Step 1: List Factors
List the factors of 8200 like so:

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

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

1, 4, 25, 100

Step 3: Divide
Divide 8200 by the largest perfect square you found in the previous step:

8200 / 100 = 82

Step 4: Calculate
Calculate the square root of the largest perfect square:

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8200 in its simplest form:


10	√	82

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Decimal Form
Square Root of 8200 in Decimal form rounded to nearest 5 decimals:

90.55385

Exponent Form
Square Root of 8200 written with Exponent instead of Radical:

8200^½ = 10 x 82^½

Simplify Square Root of 8201
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* List of Perfect Squares