Simplify Square Root of 8288

Here we will show you step-by-step how to simplify the square root of 8288. The square root of 8288 can be written as follows:


	√	8288

The √ symbol is called the radical sign. To simplify the square root of 8288 means to get the simplest radical form of √8288.

Step 1: List Factors
List the factors of 8288 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288

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

1, 4, 16

Step 3: Divide
Divide 8288 by the largest perfect square you found in the previous step:

8288 / 16 = 518

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8288 in its simplest form:


4	√	518

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Decimal Form
Square Root of 8288 in Decimal form rounded to nearest 5 decimals:

91.03845

Exponent Form
Square Root of 8288 written with Exponent instead of Radical:

8288^½ = 4 x 518^½

Simplify Square Root of 8289
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* List of Perfect Squares