Simplify Square Root of 7712

Here we will show you step-by-step how to simplify the square root of 7712. The square root of 7712 can be written as follows:


	√	7712

The √ symbol is called the radical sign. To simplify the square root of 7712 means to get the simplest radical form of √7712.

Step 1: List Factors
List the factors of 7712 like so:

1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712

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

1, 4, 16

Step 3: Divide
Divide 7712 by the largest perfect square you found in the previous step:

7712 / 16 = 482

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 7712 in its simplest form:


4	√	482

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Decimal Form
Square Root of 7712 in Decimal form rounded to nearest 5 decimals:

87.81799

Exponent Form
Square Root of 7712 written with Exponent instead of Radical:

7712^½ = 4 x 482^½

Simplify Square Root of 7713
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* List of Perfect Squares