Simplify Square Root of 7696

Here we will show you step-by-step how to simplify the square root of 7696. The square root of 7696 can be written as follows:


	√	7696

The √ symbol is called the radical sign. To simplify the square root of 7696 means to get the simplest radical form of √7696.

Step 1: List Factors
List the factors of 7696 like so:

1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696

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

1, 4, 16

Step 3: Divide
Divide 7696 by the largest perfect square you found in the previous step:

7696 / 16 = 481

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 7696 in its simplest form:


4	√	481

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Decimal Form
Square Root of 7696 in Decimal form rounded to nearest 5 decimals:

87.72685

Exponent Form
Square Root of 7696 written with Exponent instead of Radical:

7696^½ = 4 x 481^½

Simplify Square Root of 7697
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* List of Perfect Squares