Simplify Square Root of 2989

Here we will show you step-by-step how to simplify the square root of 2989. The square root of 2989 can be written as follows:


	√	2989

The √ symbol is called the radical sign. To simplify the square root of 2989 means to get the simplest radical form of √2989.

Step 1: List Factors
List the factors of 2989 like so:

1, 7, 49, 61, 427, 2989

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

1, 49

Step 3: Divide
Divide 2989 by the largest perfect square you found in the previous step:

2989 / 49 = 61

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2989 in its simplest form:


7	√	61

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Decimal Form
Square Root of 2989 in Decimal form rounded to nearest 5 decimals:

54.67175

Exponent Form
Square Root of 2989 written with Exponent instead of Radical:

2989^½ = 7 x 61^½

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* List of Perfect Squares