Simplify Square Root of 9960

Here we will show you step-by-step how to simplify the square root of 9960. The square root of 9960 can be written as follows:


	√	9960

The √ symbol is called the radical sign. To simplify the square root of 9960 means to get the simplest radical form of √9960.

Step 1: List Factors
List the factors of 9960 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960

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

1, 4

Step 3: Divide
Divide 9960 by the largest perfect square you found in the previous step:

9960 / 4 = 2490

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 9960 in its simplest form:


2	√	2490

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Decimal Form
Square Root of 9960 in Decimal form rounded to nearest 5 decimals:

99.7998

Exponent Form
Square Root of 9960 written with Exponent instead of Radical:

9960^½ = 2 x 2490^½

Simplify Square Root of 9961
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* List of Perfect Squares