Simplify Square Root of 8752

Here we will show you step-by-step how to simplify the square root of 8752. The square root of 8752 can be written as follows:


	√	8752

The √ symbol is called the radical sign. To simplify the square root of 8752 means to get the simplest radical form of √8752.

Step 1: List Factors
List the factors of 8752 like so:

1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752

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

1, 4, 16

Step 3: Divide
Divide 8752 by the largest perfect square you found in the previous step:

8752 / 16 = 547

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8752 in its simplest form:


4	√	547

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Decimal Form
Square Root of 8752 in Decimal form rounded to nearest 5 decimals:

93.55212

Exponent Form
Square Root of 8752 written with Exponent instead of Radical:

8752^½ = 4 x 547^½

Simplify Square Root of 8753
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* List of Perfect Squares