Simplify Square Root of 7267

Here we will show you step-by-step how to simplify the square root of 7267. The square root of 7267 can be written as follows:


	√	7267

The √ symbol is called the radical sign. To simplify the square root of 7267 means to get the simplest radical form of √7267.

Step 1: List Factors
List the factors of 7267 like so:

1, 13, 43, 169, 559, 7267

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

1, 169

Step 3: Divide
Divide 7267 by the largest perfect square you found in the previous step:

7267 / 169 = 43

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7267 in its simplest form:


13	√	43

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Decimal Form
Square Root of 7267 in Decimal form rounded to nearest 5 decimals:

85.2467

Exponent Form
Square Root of 7267 written with Exponent instead of Radical:

7267^½ = 13 x 43^½

Simplify Square Root of 7268
The answer to Simplify Square Root of 7267 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares