Simplify Square Root of 722

Here we will show you step-by-step how to simplify the square root of 722. The square root of 722 can be written as follows:


	√	722

The √ symbol is called the radical sign. To simplify the square root of 722 means to get the simplest radical form of √722.

Step 1: List Factors
List the factors of 722 like so:

1, 2, 19, 38, 361, 722

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

1, 361

Step 3: Divide
Divide 722 by the largest perfect square you found in the previous step:

722 / 361 = 2

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

√361 = 19

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 722 in its simplest form:


19	√	2

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Decimal Form
Square Root of 722 in Decimal form rounded to nearest 5 decimals:

26.87006

Exponent Form
Square Root of 722 written with Exponent instead of Radical:

722^½ = 19 x 2^½

Simplify Square Root of 723
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* List of Perfect Squares