Simplify Square Root of 2864

Here we will show you step-by-step how to simplify the square root of 2864. The square root of 2864 can be written as follows:


	√	2864

The √ symbol is called the radical sign. To simplify the square root of 2864 means to get the simplest radical form of √2864.

Step 1: List Factors
List the factors of 2864 like so:

1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864

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

1, 4, 16

Step 3: Divide
Divide 2864 by the largest perfect square you found in the previous step:

2864 / 16 = 179

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 2864 in its simplest form:


4	√	179

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Decimal Form
Square Root of 2864 in Decimal form rounded to nearest 5 decimals:

53.51635

Exponent Form
Square Root of 2864 written with Exponent instead of Radical:

2864^½ = 4 x 179^½

Simplify Square Root of 2865
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* List of Perfect Squares