Simplify Square Root of 3536

Here we will show you step-by-step how to simplify the square root of 3536. The square root of 3536 can be written as follows:


	√	3536

The √ symbol is called the radical sign. To simplify the square root of 3536 means to get the simplest radical form of √3536.

Step 1: List Factors
List the factors of 3536 like so:

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536

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

1, 4, 16

Step 3: Divide
Divide 3536 by the largest perfect square you found in the previous step:

3536 / 16 = 221

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3536 in its simplest form:


4	√	221

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Decimal Form
Square Root of 3536 in Decimal form rounded to nearest 5 decimals:

59.46427

Exponent Form
Square Root of 3536 written with Exponent instead of Radical:

3536^½ = 4 x 221^½

Simplify Square Root of 3537
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* List of Perfect Squares