Simplify Square Root of 3500

Here we will show you step-by-step how to simplify the square root of 3500. The square root of 3500 can be written as follows:


	√	3500

The √ symbol is called the radical sign. To simplify the square root of 3500 means to get the simplest radical form of √3500.

Step 1: List Factors
List the factors of 3500 like so:

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500

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

1, 4, 25, 100

Step 3: Divide
Divide 3500 by the largest perfect square you found in the previous step:

3500 / 100 = 35

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3500 in its simplest form:


10	√	35

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Decimal Form
Square Root of 3500 in Decimal form rounded to nearest 5 decimals:

59.1608

Exponent Form
Square Root of 3500 written with Exponent instead of Radical:

3500^½ = 10 x 35^½

Simplify Square Root of 3501
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* List of Perfect Squares