Simplify Square Root of 6380

Here we will show you step-by-step how to simplify the square root of 6380. The square root of 6380 can be written as follows:


	√	6380

The √ symbol is called the radical sign. To simplify the square root of 6380 means to get the simplest radical form of √6380.

Step 1: List Factors
List the factors of 6380 like so:

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380

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

1, 4

Step 3: Divide
Divide 6380 by the largest perfect square you found in the previous step:

6380 / 4 = 1595

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 6380 in its simplest form:


2	√	1595

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Decimal Form
Square Root of 6380 in Decimal form rounded to nearest 5 decimals:

79.8749

Exponent Form
Square Root of 6380 written with Exponent instead of Radical:

6380^½ = 2 x 1595^½

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* List of Perfect Squares