Simplify Square Root of 9940

Here we will show you step-by-step how to simplify the square root of 9940. The square root of 9940 can be written as follows:


	√	9940

The √ symbol is called the radical sign. To simplify the square root of 9940 means to get the simplest radical form of √9940.

Step 1: List Factors
List the factors of 9940 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940

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

1, 4

Step 3: Divide
Divide 9940 by the largest perfect square you found in the previous step:

9940 / 4 = 2485

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 9940 in its simplest form:


2	√	2485

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Decimal Form
Square Root of 9940 in Decimal form rounded to nearest 5 decimals:

99.69955

Exponent Form
Square Root of 9940 written with Exponent instead of Radical:

9940^½ = 2 x 2485^½

Simplify Square Root of 9941
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* List of Perfect Squares