Simplify Square Root of 340

Here we will show you step-by-step how to simplify the square root of 340. The square root of 340 can be written as follows:


	√	340

The √ symbol is called the radical sign. To simplify the square root of 340 means to get the simplest radical form of √340.

Step 1: List Factors
List the factors of 340 like so:

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

1, 4

Step 3: Divide
Divide 340 by the largest perfect square you found in the previous step:

340 / 4 = 85

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 340 in its simplest form:


2	√	85

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Decimal Form
Square Root of 340 in Decimal form rounded to nearest 5 decimals:

18.43909

Exponent Form
Square Root of 340 written with Exponent instead of Radical:

340^½ = 2 x 85^½

Simplify Square Root of 341
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* List of Perfect Squares