Simplify Square Root of 5820

Here we will show you step-by-step how to simplify the square root of 5820. The square root of 5820 can be written as follows:


	√	5820

The √ symbol is called the radical sign. To simplify the square root of 5820 means to get the simplest radical form of √5820.

Step 1: List Factors
List the factors of 5820 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820

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

1, 4

Step 3: Divide
Divide 5820 by the largest perfect square you found in the previous step:

5820 / 4 = 1455

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 5820 in its simplest form:


2	√	1455

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Decimal Form
Square Root of 5820 in Decimal form rounded to nearest 5 decimals:

76.28892

Exponent Form
Square Root of 5820 written with Exponent instead of Radical:

5820^½ = 2 x 1455^½

Simplify Square Root of 5821
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* List of Perfect Squares