Simplify Square Root of 7764

Here we will show you step-by-step how to simplify the square root of 7764. The square root of 7764 can be written as follows:


	√	7764

The √ symbol is called the radical sign. To simplify the square root of 7764 means to get the simplest radical form of √7764.

Step 1: List Factors
List the factors of 7764 like so:

1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764

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

1, 4

Step 3: Divide
Divide 7764 by the largest perfect square you found in the previous step:

7764 / 4 = 1941

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 7764 in its simplest form:


2	√	1941

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Decimal Form
Square Root of 7764 in Decimal form rounded to nearest 5 decimals:

88.11356

Exponent Form
Square Root of 7764 written with Exponent instead of Radical:

7764^½ = 2 x 1941^½

Simplify Square Root of 7765
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* List of Perfect Squares