Simplify Square Root of 4564

Here we will show you step-by-step how to simplify the square root of 4564. The square root of 4564 can be written as follows:


	√	4564

The √ symbol is called the radical sign. To simplify the square root of 4564 means to get the simplest radical form of √4564.

Step 1: List Factors
List the factors of 4564 like so:

1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

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

1, 4

Step 3: Divide
Divide 4564 by the largest perfect square you found in the previous step:

4564 / 4 = 1141

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4564 in its simplest form:


2	√	1141

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Decimal Form
Square Root of 4564 in Decimal form rounded to nearest 5 decimals:

67.55738

Exponent Form
Square Root of 4564 written with Exponent instead of Radical:

4564^½ = 2 x 1141^½

Simplify Square Root of 4565
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* List of Perfect Squares