Simplify Square Root of 1820

Here we will show you step-by-step how to simplify the square root of 1820. The square root of 1820 can be written as follows:


	√	1820

The √ symbol is called the radical sign. To simplify the square root of 1820 means to get the simplest radical form of √1820.

Step 1: List Factors
List the factors of 1820 like so:

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

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

1, 4

Step 3: Divide
Divide 1820 by the largest perfect square you found in the previous step:

1820 / 4 = 455

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 1820 in its simplest form:


2	√	455

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Decimal Form
Square Root of 1820 in Decimal form rounded to nearest 5 decimals:

42.66146

Exponent Form
Square Root of 1820 written with Exponent instead of Radical:

1820^½ = 2 x 455^½

Simplify Square Root of 1821
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* List of Perfect Squares