Simplify Square Root of 8190

Here we will show you step-by-step how to simplify the square root of 8190. The square root of 8190 can be written as follows:


	√	8190

The √ symbol is called the radical sign. To simplify the square root of 8190 means to get the simplest radical form of √8190.

Step 1: List Factors
List the factors of 8190 like so:

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190

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

1, 9

Step 3: Divide
Divide 8190 by the largest perfect square you found in the previous step:

8190 / 9 = 910

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8190 in its simplest form:


3	√	910

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Decimal Form
Square Root of 8190 in Decimal form rounded to nearest 5 decimals:

90.49862

Exponent Form
Square Root of 8190 written with Exponent instead of Radical:

8190^½ = 3 x 910^½

Simplify Square Root of 8191
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* List of Perfect Squares