Simplify Square Root of 680

Here we will show you step-by-step how to simplify the square root of 680. The square root of 680 can be written as follows:


	√	680

The √ symbol is called the radical sign. To simplify the square root of 680 means to get the simplest radical form of √680.

Step 1: List Factors
List the factors of 680 like so:

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

1, 4

Step 3: Divide
Divide 680 by the largest perfect square you found in the previous step:

680 / 4 = 170

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 680 in its simplest form:


2	√	170

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Decimal Form
Square Root of 680 in Decimal form rounded to nearest 5 decimals:

26.07681

Exponent Form
Square Root of 680 written with Exponent instead of Radical:

680^½ = 2 x 170^½

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* List of Perfect Squares