Simplify Square Root of 7986

Here we will show you step-by-step how to simplify the square root of 7986. The square root of 7986 can be written as follows:


	√	7986

The √ symbol is called the radical sign. To simplify the square root of 7986 means to get the simplest radical form of √7986.

Step 1: List Factors
List the factors of 7986 like so:

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986

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

1, 121

Step 3: Divide
Divide 7986 by the largest perfect square you found in the previous step:

7986 / 121 = 66

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7986 in its simplest form:


11	√	66

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Decimal Form
Square Root of 7986 in Decimal form rounded to nearest 5 decimals:

89.36442

Exponent Form
Square Root of 7986 written with Exponent instead of Radical:

7986^½ = 11 x 66^½

Simplify Square Root of 7987
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* List of Perfect Squares