Simplify Square Root of 8388

Here we will show you step-by-step how to simplify the square root of 8388. The square root of 8388 can be written as follows:


	√	8388

The √ symbol is called the radical sign. To simplify the square root of 8388 means to get the simplest radical form of √8388.

Step 1: List Factors
List the factors of 8388 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388

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

1, 4, 9, 36

Step 3: Divide
Divide 8388 by the largest perfect square you found in the previous step:

8388 / 36 = 233

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8388 in its simplest form:


6	√	233

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Decimal Form
Square Root of 8388 in Decimal form rounded to nearest 5 decimals:

91.58603

Exponent Form
Square Root of 8388 written with Exponent instead of Radical:

8388^½ = 6 x 233^½

Simplify Square Root of 8389
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* List of Perfect Squares