Simplify Square Root of 3652

Here we will show you step-by-step how to simplify the square root of 3652. The square root of 3652 can be written as follows:


	√	3652

The √ symbol is called the radical sign. To simplify the square root of 3652 means to get the simplest radical form of √3652.

Step 1: List Factors
List the factors of 3652 like so:

1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652

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

1, 4

Step 3: Divide
Divide 3652 by the largest perfect square you found in the previous step:

3652 / 4 = 913

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 3652 in its simplest form:


2	√	913

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Decimal Form
Square Root of 3652 in Decimal form rounded to nearest 5 decimals:

60.43178

Exponent Form
Square Root of 3652 written with Exponent instead of Radical:

3652^½ = 2 x 913^½

Simplify Square Root of 3653
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* List of Perfect Squares