Simplify Square Root of 3654

Here we will show you step-by-step how to simplify the square root of 3654. The square root of 3654 can be written as follows:


	√	3654

The √ symbol is called the radical sign. To simplify the square root of 3654 means to get the simplest radical form of √3654.

Step 1: List Factors
List the factors of 3654 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654

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

1, 9

Step 3: Divide
Divide 3654 by the largest perfect square you found in the previous step:

3654 / 9 = 406

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3654 in its simplest form:


3	√	406

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Decimal Form
Square Root of 3654 in Decimal form rounded to nearest 5 decimals:

60.44833

Exponent Form
Square Root of 3654 written with Exponent instead of Radical:

3654^½ = 3 x 406^½

Simplify Square Root of 3655
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* List of Perfect Squares