Simplify Square Root of 7656

Here we will show you step-by-step how to simplify the square root of 7656. The square root of 7656 can be written as follows:


	√	7656

The √ symbol is called the radical sign. To simplify the square root of 7656 means to get the simplest radical form of √7656.

Step 1: List Factors
List the factors of 7656 like so:

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656

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

1, 4

Step 3: Divide
Divide 7656 by the largest perfect square you found in the previous step:

7656 / 4 = 1914

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7656 in its simplest form:


2	√	1914

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Decimal Form
Square Root of 7656 in Decimal form rounded to nearest 5 decimals:

87.49857

Exponent Form
Square Root of 7656 written with Exponent instead of Radical:

7656^½ = 2 x 1914^½

Simplify Square Root of 7657
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* List of Perfect Squares