Simplify Square Root of 3474

Here we will show you step-by-step how to simplify the square root of 3474. The square root of 3474 can be written as follows:


	√	3474

The √ symbol is called the radical sign. To simplify the square root of 3474 means to get the simplest radical form of √3474.

Step 1: List Factors
List the factors of 3474 like so:

1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474

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

1, 9

Step 3: Divide
Divide 3474 by the largest perfect square you found in the previous step:

3474 / 9 = 386

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 3474 in its simplest form:


3	√	386

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Decimal Form
Square Root of 3474 in Decimal form rounded to nearest 5 decimals:

58.94065

Exponent Form
Square Root of 3474 written with Exponent instead of Radical:

3474^½ = 3 x 386^½

Simplify Square Root of 3475
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* List of Perfect Squares