Simplify Square Root of 2826

Here we will show you step-by-step how to simplify the square root of 2826. The square root of 2826 can be written as follows:


	√	2826

The √ symbol is called the radical sign. To simplify the square root of 2826 means to get the simplest radical form of √2826.

Step 1: List Factors
List the factors of 2826 like so:

1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826

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

1, 9

Step 3: Divide
Divide 2826 by the largest perfect square you found in the previous step:

2826 / 9 = 314

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2826 in its simplest form:


3	√	314

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Decimal Form
Square Root of 2826 in Decimal form rounded to nearest 5 decimals:

53.16014

Exponent Form
Square Root of 2826 written with Exponent instead of Radical:

2826^½ = 3 x 314^½

Simplify Square Root of 2827
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* List of Perfect Squares