Simplify Square Root of 8848

Here we will show you step-by-step how to simplify the square root of 8848. The square root of 8848 can be written as follows:


	√	8848

The √ symbol is called the radical sign. To simplify the square root of 8848 means to get the simplest radical form of √8848.

Step 1: List Factors
List the factors of 8848 like so:

1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848

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

1, 4, 16

Step 3: Divide
Divide 8848 by the largest perfect square you found in the previous step:

8848 / 16 = 553

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8848 in its simplest form:


4	√	553

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Decimal Form
Square Root of 8848 in Decimal form rounded to nearest 5 decimals:

94.06381

Exponent Form
Square Root of 8848 written with Exponent instead of Radical:

8848^½ = 4 x 553^½

Simplify Square Root of 8849
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* List of Perfect Squares