Simplify Square Root of 2034

Here we will show you step-by-step how to simplify the square root of 2034. The square root of 2034 can be written as follows:


	√	2034

The √ symbol is called the radical sign. To simplify the square root of 2034 means to get the simplest radical form of √2034.

Step 1: List Factors
List the factors of 2034 like so:

1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034

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

1, 9

Step 3: Divide
Divide 2034 by the largest perfect square you found in the previous step:

2034 / 9 = 226

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 2034 in its simplest form:


3	√	226

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Decimal Form
Square Root of 2034 in Decimal form rounded to nearest 5 decimals:

45.09989

Exponent Form
Square Root of 2034 written with Exponent instead of Radical:

2034^½ = 3 x 226^½

Simplify Square Root of 2035
The answer to Simplify Square Root of 2034 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares