Simplify Square Root of 702

Here we will show you step-by-step how to simplify the square root of 702. The square root of 702 can be written as follows:


	√	702

The √ symbol is called the radical sign. To simplify the square root of 702 means to get the simplest radical form of √702.

Step 1: List Factors
List the factors of 702 like so:

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

1, 9

Step 3: Divide
Divide 702 by the largest perfect square you found in the previous step:

702 / 9 = 78

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 702 in its simplest form:


3	√	78

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Decimal Form
Square Root of 702 in Decimal form rounded to nearest 5 decimals:

26.49528

Exponent Form
Square Root of 702 written with Exponent instead of Radical:

702^½ = 3 x 78^½

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* List of Perfect Squares