Simplify Square Root of 7688

Here we will show you step-by-step how to simplify the square root of 7688. The square root of 7688 can be written as follows:


	√	7688

The √ symbol is called the radical sign. To simplify the square root of 7688 means to get the simplest radical form of √7688.

Step 1: List Factors
List the factors of 7688 like so:

1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

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

1, 4, 961, 3844

Step 3: Divide
Divide 7688 by the largest perfect square you found in the previous step:

7688 / 3844 = 2

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

√3844 = 62

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7688 in its simplest form:


62	√	2

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Decimal Form
Square Root of 7688 in Decimal form rounded to nearest 5 decimals:

87.68124

Exponent Form
Square Root of 7688 written with Exponent instead of Radical:

7688^½ = 62 x 2^½

Simplify Square Root of 7689
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* List of Perfect Squares