Simplify Square Root of 7940

Here we will show you step-by-step how to simplify the square root of 7940. The square root of 7940 can be written as follows:


	√	7940

The √ symbol is called the radical sign. To simplify the square root of 7940 means to get the simplest radical form of √7940.

Step 1: List Factors
List the factors of 7940 like so:

1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

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

1, 4

Step 3: Divide
Divide 7940 by the largest perfect square you found in the previous step:

7940 / 4 = 1985

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 7940 in its simplest form:


2	√	1985

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Decimal Form
Square Root of 7940 in Decimal form rounded to nearest 5 decimals:

89.10668

Exponent Form
Square Root of 7940 written with Exponent instead of Radical:

7940^½ = 2 x 1985^½

Simplify Square Root of 7941
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* List of Perfect Squares