Simplify Square Root of 8748

Here we will show you step-by-step how to simplify the square root of 8748. The square root of 8748 can be written as follows:


	√	8748

The √ symbol is called the radical sign. To simplify the square root of 8748 means to get the simplest radical form of √8748.

Step 1: List Factors
List the factors of 8748 like so:

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748

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

1, 4, 9, 36, 81, 324, 729, 2916

Step 3: Divide
Divide 8748 by the largest perfect square you found in the previous step:

8748 / 2916 = 3

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

√2916 = 54

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8748 in its simplest form:


54	√	3

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Decimal Form
Square Root of 8748 in Decimal form rounded to nearest 5 decimals:

93.53074

Exponent Form
Square Root of 8748 written with Exponent instead of Radical:

8748^½ = 54 x 3^½

Simplify Square Root of 8749
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* List of Perfect Squares