Simplify Square Root of 3496

Here we will show you step-by-step how to simplify the square root of 3496. The square root of 3496 can be written as follows:


	√	3496

The √ symbol is called the radical sign. To simplify the square root of 3496 means to get the simplest radical form of √3496.

Step 1: List Factors
List the factors of 3496 like so:

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496

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

1, 4

Step 3: Divide
Divide 3496 by the largest perfect square you found in the previous step:

3496 / 4 = 874

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3496 in its simplest form:


2	√	874

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Decimal Form
Square Root of 3496 in Decimal form rounded to nearest 5 decimals:

59.12698

Exponent Form
Square Root of 3496 written with Exponent instead of Radical:

3496^½ = 2 x 874^½

Simplify Square Root of 3497
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* List of Perfect Squares