Simplify Square Root of 8427

Here we will show you step-by-step how to simplify the square root of 8427. The square root of 8427 can be written as follows:


	√	8427

The √ symbol is called the radical sign. To simplify the square root of 8427 means to get the simplest radical form of √8427.

Step 1: List Factors
List the factors of 8427 like so:

1, 3, 53, 159, 2809, 8427

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

1, 2809

Step 3: Divide
Divide 8427 by the largest perfect square you found in the previous step:

8427 / 2809 = 3

Step 4: Calculate
Calculate the square root of the largest perfect square:

√2809 = 53

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8427 in its simplest form:


53	√	3

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Decimal Form
Square Root of 8427 in Decimal form rounded to nearest 5 decimals:

91.79869

Exponent Form
Square Root of 8427 written with Exponent instead of Radical:

8427^½ = 53 x 3^½

Simplify Square Root of 8428
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* List of Perfect Squares