Simplify Square Root of 6280

Here we will show you step-by-step how to simplify the square root of 6280. The square root of 6280 can be written as follows:


	√	6280

The √ symbol is called the radical sign. To simplify the square root of 6280 means to get the simplest radical form of √6280.

Step 1: List Factors
List the factors of 6280 like so:

1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280

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

1, 4

Step 3: Divide
Divide 6280 by the largest perfect square you found in the previous step:

6280 / 4 = 1570

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 6280 in its simplest form:


2	√	1570

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Decimal Form
Square Root of 6280 in Decimal form rounded to nearest 5 decimals:

79.24645

Exponent Form
Square Root of 6280 written with Exponent instead of Radical:

6280^½ = 2 x 1570^½

Simplify Square Root of 6281
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* List of Perfect Squares