Simplify Square Root of 8127

Here we will show you step-by-step how to simplify the square root of 8127. The square root of 8127 can be written as follows:


	√	8127

The √ symbol is called the radical sign. To simplify the square root of 8127 means to get the simplest radical form of √8127.

Step 1: List Factors
List the factors of 8127 like so:

1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127

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

1, 9

Step 3: Divide
Divide 8127 by the largest perfect square you found in the previous step:

8127 / 9 = 903

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8127 in its simplest form:


3	√	903

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Decimal Form
Square Root of 8127 in Decimal form rounded to nearest 5 decimals:

90.14988

Exponent Form
Square Root of 8127 written with Exponent instead of Radical:

8127^½ = 3 x 903^½

Simplify Square Root of 8128
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* List of Perfect Squares