Simplify Square Root of 3160

Here we will show you step-by-step how to simplify the square root of 3160. The square root of 3160 can be written as follows:


	√	3160

The √ symbol is called the radical sign. To simplify the square root of 3160 means to get the simplest radical form of √3160.

Step 1: List Factors
List the factors of 3160 like so:

1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160

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

1, 4

Step 3: Divide
Divide 3160 by the largest perfect square you found in the previous step:

3160 / 4 = 790

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 3160 in its simplest form:


2	√	790

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Decimal Form
Square Root of 3160 in Decimal form rounded to nearest 5 decimals:

56.21388

Exponent Form
Square Root of 3160 written with Exponent instead of Radical:

3160^½ = 2 x 790^½

Simplify Square Root of 3161
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* List of Perfect Squares