Simplify Square Root of 412

Here we will show you step-by-step how to simplify the square root of 412. The square root of 412 can be written as follows:


	√	412

The √ symbol is called the radical sign. To simplify the square root of 412 means to get the simplest radical form of √412.

Step 1: List Factors
List the factors of 412 like so:

1, 2, 4, 103, 206, 412

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

1, 4

Step 3: Divide
Divide 412 by the largest perfect square you found in the previous step:

412 / 4 = 103

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 412 in its simplest form:


2	√	103

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Decimal Form
Square Root of 412 in Decimal form rounded to nearest 5 decimals:

20.29778

Exponent Form
Square Root of 412 written with Exponent instead of Radical:

412^½ = 2 x 103^½

Simplify Square Root of 413
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* List of Perfect Squares