Simplify Square Root of 704

Here we will show you step-by-step how to simplify the square root of 704. The square root of 704 can be written as follows:


	√	704

The √ symbol is called the radical sign. To simplify the square root of 704 means to get the simplest radical form of √704.

Step 1: List Factors
List the factors of 704 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

1, 4, 16, 64

Step 3: Divide
Divide 704 by the largest perfect square you found in the previous step:

704 / 64 = 11

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 704 in its simplest form:


8	√	11

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Decimal Form
Square Root of 704 in Decimal form rounded to nearest 5 decimals:

26.533

Exponent Form
Square Root of 704 written with Exponent instead of Radical:

704^½ = 8 x 11^½

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* List of Perfect Squares