Simplify Square Root of 708

Here we will show you step-by-step how to simplify the square root of 708. The square root of 708 can be written as follows:


	√	708

The √ symbol is called the radical sign. To simplify the square root of 708 means to get the simplest radical form of √708.

Step 1: List Factors
List the factors of 708 like so:

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

1, 4

Step 3: Divide
Divide 708 by the largest perfect square you found in the previous step:

708 / 4 = 177

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 708 in its simplest form:


2	√	177

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Decimal Form
Square Root of 708 in Decimal form rounded to nearest 5 decimals:

26.60827

Exponent Form
Square Root of 708 written with Exponent instead of Radical:

708^½ = 2 x 177^½

Simplify Square Root of 709
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* List of Perfect Squares