Simplify Square Root of 2848

Here we will show you step-by-step how to simplify the square root of 2848. The square root of 2848 can be written as follows:


	√	2848

The √ symbol is called the radical sign. To simplify the square root of 2848 means to get the simplest radical form of √2848.

Step 1: List Factors
List the factors of 2848 like so:

1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848

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

1, 4, 16

Step 3: Divide
Divide 2848 by the largest perfect square you found in the previous step:

2848 / 16 = 178

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 2848 in its simplest form:


4	√	178

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Decimal Form
Square Root of 2848 in Decimal form rounded to nearest 5 decimals:

53.36666

Exponent Form
Square Root of 2848 written with Exponent instead of Radical:

2848^½ = 4 x 178^½

Simplify Square Root of 2849
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* List of Perfect Squares