Simplify Square Root of 3663

Here we will show you step-by-step how to simplify the square root of 3663. The square root of 3663 can be written as follows:


	√	3663

The √ symbol is called the radical sign. To simplify the square root of 3663 means to get the simplest radical form of √3663.

Step 1: List Factors
List the factors of 3663 like so:

1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663

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

1, 9

Step 3: Divide
Divide 3663 by the largest perfect square you found in the previous step:

3663 / 9 = 407

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 3663 in its simplest form:


3	√	407

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Decimal Form
Square Root of 3663 in Decimal form rounded to nearest 5 decimals:

60.52272

Exponent Form
Square Root of 3663 written with Exponent instead of Radical:

3663^½ = 3 x 407^½

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* List of Perfect Squares