Simplify Square Root of 5200

Here we will show you step-by-step how to simplify the square root of 5200. The square root of 5200 can be written as follows:


	√	5200

The √ symbol is called the radical sign. To simplify the square root of 5200 means to get the simplest radical form of √5200.

Step 1: List Factors
List the factors of 5200 like so:

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 5200 by the largest perfect square you found in the previous step:

5200 / 400 = 13

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5200 in its simplest form:


20	√	13

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Decimal Form
Square Root of 5200 in Decimal form rounded to nearest 5 decimals:

72.11103

Exponent Form
Square Root of 5200 written with Exponent instead of Radical:

5200^½ = 20 x 13^½

Simplify Square Root of 5201
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* List of Perfect Squares