Simplify Square Root of 1708

Here we will show you step-by-step how to simplify the square root of 1708. The square root of 1708 can be written as follows:


	√	1708

The √ symbol is called the radical sign. To simplify the square root of 1708 means to get the simplest radical form of √1708.

Step 1: List Factors
List the factors of 1708 like so:

1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708

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

1, 4

Step 3: Divide
Divide 1708 by the largest perfect square you found in the previous step:

1708 / 4 = 427

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 1708 in its simplest form:


2	√	427

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Decimal Form
Square Root of 1708 in Decimal form rounded to nearest 5 decimals:

41.32796

Exponent Form
Square Root of 1708 written with Exponent instead of Radical:

1708^½ = 2 x 427^½

Simplify Square Root of 1709
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* List of Perfect Squares