Simplify Square Root of 2020

Here we will show you step-by-step how to simplify the square root of 2020. The square root of 2020 can be written as follows:


	√	2020

The √ symbol is called the radical sign. To simplify the square root of 2020 means to get the simplest radical form of √2020.

Step 1: List Factors
List the factors of 2020 like so:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020

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

1, 4

Step 3: Divide
Divide 2020 by the largest perfect square you found in the previous step:

2020 / 4 = 505

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 2020 in its simplest form:


2	√	505

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Decimal Form
Square Root of 2020 in Decimal form rounded to nearest 5 decimals:

44.94441

Exponent Form
Square Root of 2020 written with Exponent instead of Radical:

2020^½ = 2 x 505^½

Simplify Square Root of 2021
The answer to Simplify Square Root of 2020 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares