Simplify Square Root of 7956

Here we will show you step-by-step how to simplify the square root of 7956. The square root of 7956 can be written as follows:


	√	7956

The √ symbol is called the radical sign. To simplify the square root of 7956 means to get the simplest radical form of √7956.

Step 1: List Factors
List the factors of 7956 like so:

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956

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

1, 4, 9, 36

Step 3: Divide
Divide 7956 by the largest perfect square you found in the previous step:

7956 / 36 = 221

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7956 in its simplest form:


6	√	221

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Decimal Form
Square Root of 7956 in Decimal form rounded to nearest 5 decimals:

89.19641

Exponent Form
Square Root of 7956 written with Exponent instead of Radical:

7956^½ = 6 x 221^½

Simplify Square Root of 7957
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* List of Perfect Squares