Simplify Square Root of 7208

Here we will show you step-by-step how to simplify the square root of 7208. The square root of 7208 can be written as follows:


	√	7208

The √ symbol is called the radical sign. To simplify the square root of 7208 means to get the simplest radical form of √7208.

Step 1: List Factors
List the factors of 7208 like so:

1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

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

1, 4

Step 3: Divide
Divide 7208 by the largest perfect square you found in the previous step:

7208 / 4 = 1802

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7208 in its simplest form:


2	√	1802

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Decimal Form
Square Root of 7208 in Decimal form rounded to nearest 5 decimals:

84.89994

Exponent Form
Square Root of 7208 written with Exponent instead of Radical:

7208^½ = 2 x 1802^½

Simplify Square Root of 7209
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* List of Perfect Squares