Simplify Square Root of 5680

Here we will show you step-by-step how to simplify the square root of 5680. The square root of 5680 can be written as follows:


	√	5680

The √ symbol is called the radical sign. To simplify the square root of 5680 means to get the simplest radical form of √5680.

Step 1: List Factors
List the factors of 5680 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680

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

1, 4, 16

Step 3: Divide
Divide 5680 by the largest perfect square you found in the previous step:

5680 / 16 = 355

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 5680 in its simplest form:


4	√	355

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Decimal Form
Square Root of 5680 in Decimal form rounded to nearest 5 decimals:

75.36577

Exponent Form
Square Root of 5680 written with Exponent instead of Radical:

5680^½ = 4 x 355^½

Simplify Square Root of 5681
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* List of Perfect Squares