Simplify Square Root of 3812

Here we will show you step-by-step how to simplify the square root of 3812. The square root of 3812 can be written as follows:


	√	3812

The √ symbol is called the radical sign. To simplify the square root of 3812 means to get the simplest radical form of √3812.

Step 1: List Factors
List the factors of 3812 like so:

1, 2, 4, 953, 1906, 3812

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

1, 4

Step 3: Divide
Divide 3812 by the largest perfect square you found in the previous step:

3812 / 4 = 953

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 3812 in its simplest form:


2	√	953

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Decimal Form
Square Root of 3812 in Decimal form rounded to nearest 5 decimals:

61.7414

Exponent Form
Square Root of 3812 written with Exponent instead of Radical:

3812^½ = 2 x 953^½

Simplify Square Root of 3813
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* List of Perfect Squares