Simplify Square Root of 6428

Here we will show you step-by-step how to simplify the square root of 6428. The square root of 6428 can be written as follows:


	√	6428

The √ symbol is called the radical sign. To simplify the square root of 6428 means to get the simplest radical form of √6428.

Step 1: List Factors
List the factors of 6428 like so:

1, 2, 4, 1607, 3214, 6428

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

1, 4

Step 3: Divide
Divide 6428 by the largest perfect square you found in the previous step:

6428 / 4 = 1607

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 6428 in its simplest form:


2	√	1607

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Decimal Form
Square Root of 6428 in Decimal form rounded to nearest 5 decimals:

80.17481

Exponent Form
Square Root of 6428 written with Exponent instead of Radical:

6428^½ = 2 x 1607^½

Simplify Square Root of 6429
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* List of Perfect Squares