Simplify Square Root of 2076

Here we will show you step-by-step how to simplify the square root of 2076. The square root of 2076 can be written as follows:


	√	2076

The √ symbol is called the radical sign. To simplify the square root of 2076 means to get the simplest radical form of √2076.

Step 1: List Factors
List the factors of 2076 like so:

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

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

1, 4

Step 3: Divide
Divide 2076 by the largest perfect square you found in the previous step:

2076 / 4 = 519

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 2076 in its simplest form:


2	√	519

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Decimal Form
Square Root of 2076 in Decimal form rounded to nearest 5 decimals:

45.56314

Exponent Form
Square Root of 2076 written with Exponent instead of Radical:

2076^½ = 2 x 519^½

Simplify Square Root of 2077
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* List of Perfect Squares