Simplify Square Root of 4064

Here we will show you step-by-step how to simplify the square root of 4064. The square root of 4064 can be written as follows:


	√	4064

The √ symbol is called the radical sign. To simplify the square root of 4064 means to get the simplest radical form of √4064.

Step 1: List Factors
List the factors of 4064 like so:

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

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

1, 4, 16

Step 3: Divide
Divide 4064 by the largest perfect square you found in the previous step:

4064 / 16 = 254

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 4064 in its simplest form:


4	√	254

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Decimal Form
Square Root of 4064 in Decimal form rounded to nearest 5 decimals:

63.74951

Exponent Form
Square Root of 4064 written with Exponent instead of Radical:

4064^½ = 4 x 254^½

Simplify Square Root of 4065
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* List of Perfect Squares