Simplify Square Root of 8340

Here we will show you step-by-step how to simplify the square root of 8340. The square root of 8340 can be written as follows:


	√	8340

The √ symbol is called the radical sign. To simplify the square root of 8340 means to get the simplest radical form of √8340.

Step 1: List Factors
List the factors of 8340 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340

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

1, 4

Step 3: Divide
Divide 8340 by the largest perfect square you found in the previous step:

8340 / 4 = 2085

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 8340 in its simplest form:


2	√	2085

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Decimal Form
Square Root of 8340 in Decimal form rounded to nearest 5 decimals:

91.3236

Exponent Form
Square Root of 8340 written with Exponent instead of Radical:

8340^½ = 2 x 2085^½

Simplify Square Root of 8341
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* List of Perfect Squares