Simplify Square Root of 8172

Here we will show you step-by-step how to simplify the square root of 8172. The square root of 8172 can be written as follows:


	√	8172

The √ symbol is called the radical sign. To simplify the square root of 8172 means to get the simplest radical form of √8172.

Step 1: List Factors
List the factors of 8172 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172

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

1, 4, 9, 36

Step 3: Divide
Divide 8172 by the largest perfect square you found in the previous step:

8172 / 36 = 227

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8172 in its simplest form:


6	√	227

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Decimal Form
Square Root of 8172 in Decimal form rounded to nearest 5 decimals:

90.39912

Exponent Form
Square Root of 8172 written with Exponent instead of Radical:

8172^½ = 6 x 227^½

Simplify Square Root of 8173
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* List of Perfect Squares