Simplify Square Root of 7641

Here we will show you step-by-step how to simplify the square root of 7641. The square root of 7641 can be written as follows:


	√	7641

The √ symbol is called the radical sign. To simplify the square root of 7641 means to get the simplest radical form of √7641.

Step 1: List Factors
List the factors of 7641 like so:

1, 3, 9, 27, 283, 849, 2547, 7641

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

1, 9

Step 3: Divide
Divide 7641 by the largest perfect square you found in the previous step:

7641 / 9 = 849

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7641 in its simplest form:


3	√	849

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Decimal Form
Square Root of 7641 in Decimal form rounded to nearest 5 decimals:

87.41281

Exponent Form
Square Root of 7641 written with Exponent instead of Radical:

7641^½ = 3 x 849^½

Simplify Square Root of 7642
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* List of Perfect Squares