Simplify Square Root of 3648

Here we will show you step-by-step how to simplify the square root of 3648. The square root of 3648 can be written as follows:


	√	3648

The √ symbol is called the radical sign. To simplify the square root of 3648 means to get the simplest radical form of √3648.

Step 1: List Factors
List the factors of 3648 like so:

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648

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

1, 4, 16, 64

Step 3: Divide
Divide 3648 by the largest perfect square you found in the previous step:

3648 / 64 = 57

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3648 in its simplest form:


8	√	57

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Decimal Form
Square Root of 3648 in Decimal form rounded to nearest 5 decimals:

60.39868

Exponent Form
Square Root of 3648 written with Exponent instead of Radical:

3648^½ = 8 x 57^½

Simplify Square Root of 3649
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* List of Perfect Squares