Simplify Square Root of 6424

Here we will show you step-by-step how to simplify the square root of 6424. The square root of 6424 can be written as follows:


	√	6424

The √ symbol is called the radical sign. To simplify the square root of 6424 means to get the simplest radical form of √6424.

Step 1: List Factors
List the factors of 6424 like so:

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

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

1, 4

Step 3: Divide
Divide 6424 by the largest perfect square you found in the previous step:

6424 / 4 = 1606

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 6424 in its simplest form:


2	√	1606

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Decimal Form
Square Root of 6424 in Decimal form rounded to nearest 5 decimals:

80.14986

Exponent Form
Square Root of 6424 written with Exponent instead of Radical:

6424^½ = 2 x 1606^½

Simplify Square Root of 6425
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* List of Perfect Squares