Simplify Square Root of 2852

Here we will show you step-by-step how to simplify the square root of 2852. The square root of 2852 can be written as follows:


	√	2852

The √ symbol is called the radical sign. To simplify the square root of 2852 means to get the simplest radical form of √2852.

Step 1: List Factors
List the factors of 2852 like so:

1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852

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

1, 4

Step 3: Divide
Divide 2852 by the largest perfect square you found in the previous step:

2852 / 4 = 713

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 2852 in its simplest form:


2	√	713

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Decimal Form
Square Root of 2852 in Decimal form rounded to nearest 5 decimals:

53.40412

Exponent Form
Square Root of 2852 written with Exponent instead of Radical:

2852^½ = 2 x 713^½

Simplify Square Root of 2853
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* List of Perfect Squares