Simplify Square Root of 5064

Here we will show you step-by-step how to simplify the square root of 5064. The square root of 5064 can be written as follows:


	√	5064

The √ symbol is called the radical sign. To simplify the square root of 5064 means to get the simplest radical form of √5064.

Step 1: List Factors
List the factors of 5064 like so:

1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064

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

1, 4

Step 3: Divide
Divide 5064 by the largest perfect square you found in the previous step:

5064 / 4 = 1266

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 5064 in its simplest form:


2	√	1266

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Decimal Form
Square Root of 5064 in Decimal form rounded to nearest 5 decimals:

71.16179

Exponent Form
Square Root of 5064 written with Exponent instead of Radical:

5064^½ = 2 x 1266^½

Simplify Square Root of 5065
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* List of Perfect Squares