Simplify Square Root of 7960

Here we will show you step-by-step how to simplify the square root of 7960. The square root of 7960 can be written as follows:


	√	7960

The √ symbol is called the radical sign. To simplify the square root of 7960 means to get the simplest radical form of √7960.

Step 1: List Factors
List the factors of 7960 like so:

1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960

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

1, 4

Step 3: Divide
Divide 7960 by the largest perfect square you found in the previous step:

7960 / 4 = 1990

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 7960 in its simplest form:


2	√	1990

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Decimal Form
Square Root of 7960 in Decimal form rounded to nearest 5 decimals:

89.21883

Exponent Form
Square Root of 7960 written with Exponent instead of Radical:

7960^½ = 2 x 1990^½

Simplify Square Root of 7961
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* List of Perfect Squares