Simplify Square Root of 8160

Here we will show you step-by-step how to simplify the square root of 8160. The square root of 8160 can be written as follows:


	√	8160

The √ symbol is called the radical sign. To simplify the square root of 8160 means to get the simplest radical form of √8160.

Step 1: List Factors
List the factors of 8160 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160

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

1, 4, 16

Step 3: Divide
Divide 8160 by the largest perfect square you found in the previous step:

8160 / 16 = 510

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8160 in its simplest form:


4	√	510

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Decimal Form
Square Root of 8160 in Decimal form rounded to nearest 5 decimals:

90.33272

Exponent Form
Square Root of 8160 written with Exponent instead of Radical:

8160^½ = 4 x 510^½

Simplify Square Root of 8161
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* List of Perfect Squares