Simplify Square Root of 3584

Here we will show you step-by-step how to simplify the square root of 3584. The square root of 3584 can be written as follows:


	√	3584

The √ symbol is called the radical sign. To simplify the square root of 3584 means to get the simplest radical form of √3584.

Step 1: List Factors
List the factors of 3584 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 3584 by the largest perfect square you found in the previous step:

3584 / 256 = 14

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3584 in its simplest form:


16	√	14

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Decimal Form
Square Root of 3584 in Decimal form rounded to nearest 5 decimals:

59.86652

Exponent Form
Square Root of 3584 written with Exponent instead of Radical:

3584^½ = 16 x 14^½

Simplify Square Root of 3585
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* List of Perfect Squares