Simplify Square Root of 3504

Here we will show you step-by-step how to simplify the square root of 3504. The square root of 3504 can be written as follows:


	√	3504

The √ symbol is called the radical sign. To simplify the square root of 3504 means to get the simplest radical form of √3504.

Step 1: List Factors
List the factors of 3504 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504

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

1, 4, 16

Step 3: Divide
Divide 3504 by the largest perfect square you found in the previous step:

3504 / 16 = 219

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 3504 in its simplest form:


4	√	219

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Decimal Form
Square Root of 3504 in Decimal form rounded to nearest 5 decimals:

59.19459

Exponent Form
Square Root of 3504 written with Exponent instead of Radical:

3504^½ = 4 x 219^½

Simplify Square Root of 3505
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* List of Perfect Squares