Simplify Square Root of 6320

Here we will show you step-by-step how to simplify the square root of 6320. The square root of 6320 can be written as follows:


	√	6320

The √ symbol is called the radical sign. To simplify the square root of 6320 means to get the simplest radical form of √6320.

Step 1: List Factors
List the factors of 6320 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320

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

1, 4, 16

Step 3: Divide
Divide 6320 by the largest perfect square you found in the previous step:

6320 / 16 = 395

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6320 in its simplest form:


4	√	395

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Decimal Form
Square Root of 6320 in Decimal form rounded to nearest 5 decimals:

79.49843

Exponent Form
Square Root of 6320 written with Exponent instead of Radical:

6320^½ = 4 x 395^½

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* List of Perfect Squares