Simplify Square Root of 408

Here we will show you step-by-step how to simplify the square root of 408. The square root of 408 can be written as follows:


	√	408

The √ symbol is called the radical sign. To simplify the square root of 408 means to get the simplest radical form of √408.

Step 1: List Factors
List the factors of 408 like so:

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1, 4

Step 3: Divide
Divide 408 by the largest perfect square you found in the previous step:

408 / 4 = 102

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 408 in its simplest form:


2	√	102

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Decimal Form
Square Root of 408 in Decimal form rounded to nearest 5 decimals:

20.19901

Exponent Form
Square Root of 408 written with Exponent instead of Radical:

408^½ = 2 x 102^½

Simplify Square Root of 409
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* List of Perfect Squares