Simplify Square Root of 2840

Here we will show you step-by-step how to simplify the square root of 2840. The square root of 2840 can be written as follows:


	√	2840

The √ symbol is called the radical sign. To simplify the square root of 2840 means to get the simplest radical form of √2840.

Step 1: List Factors
List the factors of 2840 like so:

1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840

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

1, 4

Step 3: Divide
Divide 2840 by the largest perfect square you found in the previous step:

2840 / 4 = 710

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 2840 in its simplest form:


2	√	710

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Decimal Form
Square Root of 2840 in Decimal form rounded to nearest 5 decimals:

53.29165

Exponent Form
Square Root of 2840 written with Exponent instead of Radical:

2840^½ = 2 x 710^½

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* List of Perfect Squares