Simplify Square Root of 9876

Here we will show you step-by-step how to simplify the square root of 9876. The square root of 9876 can be written as follows:


	√	9876

The √ symbol is called the radical sign. To simplify the square root of 9876 means to get the simplest radical form of √9876.

Step 1: List Factors
List the factors of 9876 like so:

1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876

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

1, 4

Step 3: Divide
Divide 9876 by the largest perfect square you found in the previous step:

9876 / 4 = 2469

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 9876 in its simplest form:


2	√	2469

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Decimal Form
Square Root of 9876 in Decimal form rounded to nearest 5 decimals:

99.37807

Exponent Form
Square Root of 9876 written with Exponent instead of Radical:

9876^½ = 2 x 2469^½

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* List of Perfect Squares