Simplify Square Root of 6416

Here we will show you step-by-step how to simplify the square root of 6416. The square root of 6416 can be written as follows:


	√	6416

The √ symbol is called the radical sign. To simplify the square root of 6416 means to get the simplest radical form of √6416.

Step 1: List Factors
List the factors of 6416 like so:

1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

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

1, 4, 16

Step 3: Divide
Divide 6416 by the largest perfect square you found in the previous step:

6416 / 16 = 401

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 6416 in its simplest form:


4	√	401

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Decimal Form
Square Root of 6416 in Decimal form rounded to nearest 5 decimals:

80.09994

Exponent Form
Square Root of 6416 written with Exponent instead of Radical:

6416^½ = 4 x 401^½

Simplify Square Root of 6417
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* List of Perfect Squares