Simplify Square Root of 8648

Here we will show you step-by-step how to simplify the square root of 8648. The square root of 8648 can be written as follows:


	√	8648

The √ symbol is called the radical sign. To simplify the square root of 8648 means to get the simplest radical form of √8648.

Step 1: List Factors
List the factors of 8648 like so:

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

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

1, 4

Step 3: Divide
Divide 8648 by the largest perfect square you found in the previous step:

8648 / 4 = 2162

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8648 in its simplest form:


2	√	2162

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Decimal Form
Square Root of 8648 in Decimal form rounded to nearest 5 decimals:

92.99462

Exponent Form
Square Root of 8648 written with Exponent instead of Radical:

8648^½ = 2 x 2162^½

Simplify Square Root of 8649
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* List of Perfect Squares