Simplify Square Root of 4576

Here we will show you step-by-step how to simplify the square root of 4576. The square root of 4576 can be written as follows:


	√	4576

The √ symbol is called the radical sign. To simplify the square root of 4576 means to get the simplest radical form of √4576.

Step 1: List Factors
List the factors of 4576 like so:

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576

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

1, 4, 16

Step 3: Divide
Divide 4576 by the largest perfect square you found in the previous step:

4576 / 16 = 286

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 4576 in its simplest form:


4	√	286

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Decimal Form
Square Root of 4576 in Decimal form rounded to nearest 5 decimals:

67.64614

Exponent Form
Square Root of 4576 written with Exponent instead of Radical:

4576^½ = 4 x 286^½

Simplify Square Root of 4577
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* List of Perfect Squares