Simplify Square Root of 8492

Here we will show you step-by-step how to simplify the square root of 8492. The square root of 8492 can be written as follows:


	√	8492

The √ symbol is called the radical sign. To simplify the square root of 8492 means to get the simplest radical form of √8492.

Step 1: List Factors
List the factors of 8492 like so:

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492

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

1, 4

Step 3: Divide
Divide 8492 by the largest perfect square you found in the previous step:

8492 / 4 = 2123

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 8492 in its simplest form:


2	√	2123

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Decimal Form
Square Root of 8492 in Decimal form rounded to nearest 5 decimals:

92.15205

Exponent Form
Square Root of 8492 written with Exponent instead of Radical:

8492^½ = 2 x 2123^½

Simplify Square Root of 8493
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* List of Perfect Squares