Simplify Square Root of 8140

Here we will show you step-by-step how to simplify the square root of 8140. The square root of 8140 can be written as follows:


	√	8140

The √ symbol is called the radical sign. To simplify the square root of 8140 means to get the simplest radical form of √8140.

Step 1: List Factors
List the factors of 8140 like so:

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140

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

1, 4

Step 3: Divide
Divide 8140 by the largest perfect square you found in the previous step:

8140 / 4 = 2035

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 8140 in its simplest form:


2	√	2035

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Decimal Form
Square Root of 8140 in Decimal form rounded to nearest 5 decimals:

90.22195

Exponent Form
Square Root of 8140 written with Exponent instead of Radical:

8140^½ = 2 x 2035^½

Simplify Square Root of 8141
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* List of Perfect Squares