Simplify Square Root of 7164

Here we will show you step-by-step how to simplify the square root of 7164. The square root of 7164 can be written as follows:


	√	7164

The √ symbol is called the radical sign. To simplify the square root of 7164 means to get the simplest radical form of √7164.

Step 1: List Factors
List the factors of 7164 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164

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

1, 4, 9, 36

Step 3: Divide
Divide 7164 by the largest perfect square you found in the previous step:

7164 / 36 = 199

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 7164 in its simplest form:


6	√	199

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Decimal Form
Square Root of 7164 in Decimal form rounded to nearest 5 decimals:

84.64042

Exponent Form
Square Root of 7164 written with Exponent instead of Radical:

7164^½ = 6 x 199^½

Simplify Square Root of 7165
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* List of Perfect Squares