Simplify Square Root of 8540

Here we will show you step-by-step how to simplify the square root of 8540. The square root of 8540 can be written as follows:


	√	8540

The √ symbol is called the radical sign. To simplify the square root of 8540 means to get the simplest radical form of √8540.

Step 1: List Factors
List the factors of 8540 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540

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

1, 4

Step 3: Divide
Divide 8540 by the largest perfect square you found in the previous step:

8540 / 4 = 2135

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 8540 in its simplest form:


2	√	2135

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Decimal Form
Square Root of 8540 in Decimal form rounded to nearest 5 decimals:

92.41212

Exponent Form
Square Root of 8540 written with Exponent instead of Radical:

8540^½ = 2 x 2135^½

Simplify Square Root of 8541
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* List of Perfect Squares