Simplify Square Root of 8628

Here we will show you step-by-step how to simplify the square root of 8628. The square root of 8628 can be written as follows:


	√	8628

The √ symbol is called the radical sign. To simplify the square root of 8628 means to get the simplest radical form of √8628.

Step 1: List Factors
List the factors of 8628 like so:

1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628

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

1, 4

Step 3: Divide
Divide 8628 by the largest perfect square you found in the previous step:

8628 / 4 = 2157

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 8628 in its simplest form:


2	√	2157

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Decimal Form
Square Root of 8628 in Decimal form rounded to nearest 5 decimals:

92.88703

Exponent Form
Square Root of 8628 written with Exponent instead of Radical:

8628^½ = 2 x 2157^½

Simplify Square Root of 8629
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* List of Perfect Squares