Simplify Square Root of 7160

Here we will show you step-by-step how to simplify the square root of 7160. The square root of 7160 can be written as follows:


	√	7160

The √ symbol is called the radical sign. To simplify the square root of 7160 means to get the simplest radical form of √7160.

Step 1: List Factors
List the factors of 7160 like so:

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

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

1, 4

Step 3: Divide
Divide 7160 by the largest perfect square you found in the previous step:

7160 / 4 = 1790

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 7160 in its simplest form:


2	√	1790

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Decimal Form
Square Root of 7160 in Decimal form rounded to nearest 5 decimals:

84.61678

Exponent Form
Square Root of 7160 written with Exponent instead of Radical:

7160^½ = 2 x 1790^½

Simplify Square Root of 7161
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* List of Perfect Squares