Simplify Square Root of 9261

Here we will show you step-by-step how to simplify the square root of 9261. The square root of 9261 can be written as follows:


	√	9261

The √ symbol is called the radical sign. To simplify the square root of 9261 means to get the simplest radical form of √9261.

Step 1: List Factors
List the factors of 9261 like so:

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261

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

1, 9, 49, 441

Step 3: Divide
Divide 9261 by the largest perfect square you found in the previous step:

9261 / 441 = 21

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9261 in its simplest form:


21	√	21

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Decimal Form
Square Root of 9261 in Decimal form rounded to nearest 5 decimals:

96.23409

Exponent Form
Square Root of 9261 written with Exponent instead of Radical:

9261^½ = 21 x 21^½

Simplify Square Root of 9262
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* List of Perfect Squares