Simplify Square Root of 8052

Here we will show you step-by-step how to simplify the square root of 8052. The square root of 8052 can be written as follows:


	√	8052

The √ symbol is called the radical sign. To simplify the square root of 8052 means to get the simplest radical form of √8052.

Step 1: List Factors
List the factors of 8052 like so:

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052

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

1, 4

Step 3: Divide
Divide 8052 by the largest perfect square you found in the previous step:

8052 / 4 = 2013

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 8052 in its simplest form:


2	√	2013

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Decimal Form
Square Root of 8052 in Decimal form rounded to nearest 5 decimals:

89.73294

Exponent Form
Square Root of 8052 written with Exponent instead of Radical:

8052^½ = 2 x 2013^½

Simplify Square Root of 8053
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* List of Perfect Squares