Simplify Square Root of 7252

Here we will show you step-by-step how to simplify the square root of 7252. The square root of 7252 can be written as follows:


	√	7252

The √ symbol is called the radical sign. To simplify the square root of 7252 means to get the simplest radical form of √7252.

Step 1: List Factors
List the factors of 7252 like so:

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

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

1, 4, 49, 196

Step 3: Divide
Divide 7252 by the largest perfect square you found in the previous step:

7252 / 196 = 37

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7252 in its simplest form:


14	√	37

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Decimal Form
Square Root of 7252 in Decimal form rounded to nearest 5 decimals:

85.15868

Exponent Form
Square Root of 7252 written with Exponent instead of Radical:

7252^½ = 14 x 37^½

Simplify Square Root of 7253
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* List of Perfect Squares