Simplify Square Root of 3128

Here we will show you step-by-step how to simplify the square root of 3128. The square root of 3128 can be written as follows:


	√	3128

The √ symbol is called the radical sign. To simplify the square root of 3128 means to get the simplest radical form of √3128.

Step 1: List Factors
List the factors of 3128 like so:

1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128

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

1, 4

Step 3: Divide
Divide 3128 by the largest perfect square you found in the previous step:

3128 / 4 = 782

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 3128 in its simplest form:


2	√	782

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Decimal Form
Square Root of 3128 in Decimal form rounded to nearest 5 decimals:

55.92853

Exponent Form
Square Root of 3128 written with Exponent instead of Radical:

3128^½ = 2 x 782^½

Simplify Square Root of 3129
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* List of Perfect Squares