Simplify Square Root of 2064

Here we will show you step-by-step how to simplify the square root of 2064. The square root of 2064 can be written as follows:


	√	2064

The √ symbol is called the radical sign. To simplify the square root of 2064 means to get the simplest radical form of √2064.

Step 1: List Factors
List the factors of 2064 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064

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

1, 4, 16

Step 3: Divide
Divide 2064 by the largest perfect square you found in the previous step:

2064 / 16 = 129

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 2064 in its simplest form:


4	√	129

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Decimal Form
Square Root of 2064 in Decimal form rounded to nearest 5 decimals:

45.43127

Exponent Form
Square Root of 2064 written with Exponent instead of Radical:

2064^½ = 4 x 129^½

Simplify Square Root of 2065
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* List of Perfect Squares