Simplify Square Root of 7852

Here we will show you step-by-step how to simplify the square root of 7852. The square root of 7852 can be written as follows:


	√	7852

The √ symbol is called the radical sign. To simplify the square root of 7852 means to get the simplest radical form of √7852.

Step 1: List Factors
List the factors of 7852 like so:

1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852

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

1, 4

Step 3: Divide
Divide 7852 by the largest perfect square you found in the previous step:

7852 / 4 = 1963

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 7852 in its simplest form:


2	√	1963

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Decimal Form
Square Root of 7852 in Decimal form rounded to nearest 5 decimals:

88.61151

Exponent Form
Square Root of 7852 written with Exponent instead of Radical:

7852^½ = 2 x 1963^½

Simplify Square Root of 7853
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* List of Perfect Squares