Simplify Square Root of 5852

Here we will show you step-by-step how to simplify the square root of 5852. The square root of 5852 can be written as follows:


	√	5852

The √ symbol is called the radical sign. To simplify the square root of 5852 means to get the simplest radical form of √5852.

Step 1: List Factors
List the factors of 5852 like so:

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

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

1, 4

Step 3: Divide
Divide 5852 by the largest perfect square you found in the previous step:

5852 / 4 = 1463

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 5852 in its simplest form:


2	√	1463

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Decimal Form
Square Root of 5852 in Decimal form rounded to nearest 5 decimals:

76.49837

Exponent Form
Square Root of 5852 written with Exponent instead of Radical:

5852^½ = 2 x 1463^½

Simplify Square Root of 5853
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* List of Perfect Squares