Simplify Square Root of 2997

Here we will show you step-by-step how to simplify the square root of 2997. The square root of 2997 can be written as follows:


	√	2997

The √ symbol is called the radical sign. To simplify the square root of 2997 means to get the simplest radical form of √2997.

Step 1: List Factors
List the factors of 2997 like so:

1, 3, 9, 27, 37, 81, 111, 333, 999, 2997

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

1, 9, 81

Step 3: Divide
Divide 2997 by the largest perfect square you found in the previous step:

2997 / 81 = 37

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2997 in its simplest form:


9	√	37

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Decimal Form
Square Root of 2997 in Decimal form rounded to nearest 5 decimals:

54.74486

Exponent Form
Square Root of 2997 written with Exponent instead of Radical:

2997^½ = 9 x 37^½

Simplify Square Root of 2998
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* List of Perfect Squares