Simplify Square Root of 261

Here we will show you step-by-step how to simplify the square root of 261. The square root of 261 can be written as follows:


	√	261

The √ symbol is called the radical sign. To simplify the square root of 261 means to get the simplest radical form of √261.

Step 1: List Factors
List the factors of 261 like so:

1, 3, 9, 29, 87, 261

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

1, 9

Step 3: Divide
Divide 261 by the largest perfect square you found in the previous step:

261 / 9 = 29

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 261 in its simplest form:


3	√	29

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Decimal Form
Square Root of 261 in Decimal form rounded to nearest 5 decimals:

16.15549

Exponent Form
Square Root of 261 written with Exponent instead of Radical:

261^½ = 3 x 29^½

Simplify Square Root of 262
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* List of Perfect Squares