Simplify Square Root of 6413

Here we will show you step-by-step how to simplify the square root of 6413. The square root of 6413 can be written as follows:


	√	6413

The √ symbol is called the radical sign. To simplify the square root of 6413 means to get the simplest radical form of √6413.

Step 1: List Factors
List the factors of 6413 like so:

1, 11, 53, 121, 583, 6413

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

1, 121

Step 3: Divide
Divide 6413 by the largest perfect square you found in the previous step:

6413 / 121 = 53

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6413 in its simplest form:


11	√	53

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Decimal Form
Square Root of 6413 in Decimal form rounded to nearest 5 decimals:

80.08121

Exponent Form
Square Root of 6413 written with Exponent instead of Radical:

6413^½ = 11 x 53^½

Simplify Square Root of 6414
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* List of Perfect Squares