Simplify Square Root of 9164

Here we will show you step-by-step how to simplify the square root of 9164. The square root of 9164 can be written as follows:


	√	9164

The √ symbol is called the radical sign. To simplify the square root of 9164 means to get the simplest radical form of √9164.

Step 1: List Factors
List the factors of 9164 like so:

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

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

1, 4

Step 3: Divide
Divide 9164 by the largest perfect square you found in the previous step:

9164 / 4 = 2291

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 9164 in its simplest form:


2	√	2291

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Decimal Form
Square Root of 9164 in Decimal form rounded to nearest 5 decimals:

95.72878

Exponent Form
Square Root of 9164 written with Exponent instead of Radical:

9164^½ = 2 x 2291^½

Simplify Square Root of 9165
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* List of Perfect Squares