Simplify Square Root of 8704

Here we will show you step-by-step how to simplify the square root of 8704. The square root of 8704 can be written as follows:


	√	8704

The √ symbol is called the radical sign. To simplify the square root of 8704 means to get the simplest radical form of √8704.

Step 1: List Factors
List the factors of 8704 like so:

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 8704 by the largest perfect square you found in the previous step:

8704 / 256 = 34

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8704 in its simplest form:


16	√	34

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Decimal Form
Square Root of 8704 in Decimal form rounded to nearest 5 decimals:

93.29523

Exponent Form
Square Root of 8704 written with Exponent instead of Radical:

8704^½ = 16 x 34^½

Simplify Square Root of 8705
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* List of Perfect Squares