Simplify Square Root of 3645

Here we will show you step-by-step how to simplify the square root of 3645. The square root of 3645 can be written as follows:


	√	3645

The √ symbol is called the radical sign. To simplify the square root of 3645 means to get the simplest radical form of √3645.

Step 1: List Factors
List the factors of 3645 like so:

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645

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

1, 9, 81, 729

Step 3: Divide
Divide 3645 by the largest perfect square you found in the previous step:

3645 / 729 = 5

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

√729 = 27

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3645 in its simplest form:


27	√	5

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Decimal Form
Square Root of 3645 in Decimal form rounded to nearest 5 decimals:

60.37384

Exponent Form
Square Root of 3645 written with Exponent instead of Radical:

3645^½ = 27 x 5^½

Simplify Square Root of 3646
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* List of Perfect Squares