Simplify Square Root of 3798

Here we will show you step-by-step how to simplify the square root of 3798. The square root of 3798 can be written as follows:


	√	3798

The √ symbol is called the radical sign. To simplify the square root of 3798 means to get the simplest radical form of √3798.

Step 1: List Factors
List the factors of 3798 like so:

1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798

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

1, 9

Step 3: Divide
Divide 3798 by the largest perfect square you found in the previous step:

3798 / 9 = 422

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 3798 in its simplest form:


3	√	422

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Decimal Form
Square Root of 3798 in Decimal form rounded to nearest 5 decimals:

61.62792

Exponent Form
Square Root of 3798 written with Exponent instead of Radical:

3798^½ = 3 x 422^½

Simplify Square Root of 3799
The answer to Simplify Square Root of 3798 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares