Simplify Square Root of 416

Here we will show you step-by-step how to simplify the square root of 416. The square root of 416 can be written as follows:


	√	416

The √ symbol is called the radical sign. To simplify the square root of 416 means to get the simplest radical form of √416.

Step 1: List Factors
List the factors of 416 like so:

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

1, 4, 16

Step 3: Divide
Divide 416 by the largest perfect square you found in the previous step:

416 / 16 = 26

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 416 in its simplest form:


4	√	26

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Decimal Form
Square Root of 416 in Decimal form rounded to nearest 5 decimals:

20.39608

Exponent Form
Square Root of 416 written with Exponent instead of Radical:

416^½ = 4 x 26^½

Simplify Square Root of 417
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* List of Perfect Squares