Simplify Square Root of 6364

Here we will show you step-by-step how to simplify the square root of 6364. The square root of 6364 can be written as follows:


	√	6364

The √ symbol is called the radical sign. To simplify the square root of 6364 means to get the simplest radical form of √6364.

Step 1: List Factors
List the factors of 6364 like so:

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

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

1, 4

Step 3: Divide
Divide 6364 by the largest perfect square you found in the previous step:

6364 / 4 = 1591

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 6364 in its simplest form:


2	√	1591

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Decimal Form
Square Root of 6364 in Decimal form rounded to nearest 5 decimals:

79.77468

Exponent Form
Square Root of 6364 written with Exponent instead of Radical:

6364^½ = 2 x 1591^½

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* List of Perfect Squares