Simplify Square Root of 6633

Here we will show you step-by-step how to simplify the square root of 6633. The square root of 6633 can be written as follows:


	√	6633

The √ symbol is called the radical sign. To simplify the square root of 6633 means to get the simplest radical form of √6633.

Step 1: List Factors
List the factors of 6633 like so:

1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633

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

1, 9

Step 3: Divide
Divide 6633 by the largest perfect square you found in the previous step:

6633 / 9 = 737

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 6633 in its simplest form:


3	√	737

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Decimal Form
Square Root of 6633 in Decimal form rounded to nearest 5 decimals:

81.44323

Exponent Form
Square Root of 6633 written with Exponent instead of Radical:

6633^½ = 3 x 737^½

Simplify Square Root of 6634
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* List of Perfect Squares