Simplify Square Root of 2036

Here we will show you step-by-step how to simplify the square root of 2036. The square root of 2036 can be written as follows:


	√	2036

The √ symbol is called the radical sign. To simplify the square root of 2036 means to get the simplest radical form of √2036.

Step 1: List Factors
List the factors of 2036 like so:

1, 2, 4, 509, 1018, 2036

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

1, 4

Step 3: Divide
Divide 2036 by the largest perfect square you found in the previous step:

2036 / 4 = 509

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 2036 in its simplest form:


2	√	509

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Decimal Form
Square Root of 2036 in Decimal form rounded to nearest 5 decimals:

45.12206

Exponent Form
Square Root of 2036 written with Exponent instead of Radical:

2036^½ = 2 x 509^½

Simplify Square Root of 2037
The answer to Simplify Square Root of 2036 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares