Simplify Square Root of 726

Here we will show you step-by-step how to simplify the square root of 726. The square root of 726 can be written as follows:


	√	726

The √ symbol is called the radical sign. To simplify the square root of 726 means to get the simplest radical form of √726.

Step 1: List Factors
List the factors of 726 like so:

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

1, 121

Step 3: Divide
Divide 726 by the largest perfect square you found in the previous step:

726 / 121 = 6

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 726 in its simplest form:


11	√	6

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Decimal Form
Square Root of 726 in Decimal form rounded to nearest 5 decimals:

26.94439

Exponent Form
Square Root of 726 written with Exponent instead of Radical:

726^½ = 11 x 6^½

Simplify Square Root of 727
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* List of Perfect Squares