Simplify Square Root of 8128

Here we will show you step-by-step how to simplify the square root of 8128. The square root of 8128 can be written as follows:


	√	8128

The √ symbol is called the radical sign. To simplify the square root of 8128 means to get the simplest radical form of √8128.

Step 1: List Factors
List the factors of 8128 like so:

1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

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

1, 4, 16, 64

Step 3: Divide
Divide 8128 by the largest perfect square you found in the previous step:

8128 / 64 = 127

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 8128 in its simplest form:


8	√	127

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Decimal Form
Square Root of 8128 in Decimal form rounded to nearest 5 decimals:

90.15542

Exponent Form
Square Root of 8128 written with Exponent instead of Radical:

8128^½ = 8 x 127^½

Simplify Square Root of 8129
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* List of Perfect Squares