Simplify Square Root of 9872

Here we will show you step-by-step how to simplify the square root of 9872. The square root of 9872 can be written as follows:


	√	9872

The √ symbol is called the radical sign. To simplify the square root of 9872 means to get the simplest radical form of √9872.

Step 1: List Factors
List the factors of 9872 like so:

1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

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

1, 4, 16

Step 3: Divide
Divide 9872 by the largest perfect square you found in the previous step:

9872 / 16 = 617

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 9872 in its simplest form:


4	√	617

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Decimal Form
Square Root of 9872 in Decimal form rounded to nearest 5 decimals:

99.35794

Exponent Form
Square Root of 9872 written with Exponent instead of Radical:

9872^½ = 4 x 617^½

Simplify Square Root of 9873
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* List of Perfect Squares