Simplify Square Root of 3698

Here we will show you step-by-step how to simplify the square root of 3698. The square root of 3698 can be written as follows:


	√	3698

The √ symbol is called the radical sign. To simplify the square root of 3698 means to get the simplest radical form of √3698.

Step 1: List Factors
List the factors of 3698 like so:

1, 2, 43, 86, 1849, 3698

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

1, 1849

Step 3: Divide
Divide 3698 by the largest perfect square you found in the previous step:

3698 / 1849 = 2

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

√1849 = 43

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3698 in its simplest form:


43	√	2

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Decimal Form
Square Root of 3698 in Decimal form rounded to nearest 5 decimals:

60.81118

Exponent Form
Square Root of 3698 written with Exponent instead of Radical:

3698^½ = 43 x 2^½

Simplify Square Root of 3699
The answer to Simplify Square Root of 3698 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares