Simplify Square Root of 6560

Here we will show you step-by-step how to simplify the square root of 6560. The square root of 6560 can be written as follows:


	√	6560

The √ symbol is called the radical sign. To simplify the square root of 6560 means to get the simplest radical form of √6560.

Step 1: List Factors
List the factors of 6560 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560

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

1, 4, 16

Step 3: Divide
Divide 6560 by the largest perfect square you found in the previous step:

6560 / 16 = 410

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 6560 in its simplest form:


4	√	410

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Decimal Form
Square Root of 6560 in Decimal form rounded to nearest 5 decimals:

80.99383

Exponent Form
Square Root of 6560 written with Exponent instead of Radical:

6560^½ = 4 x 410^½

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* List of Perfect Squares