Simplify Square Root of 3123

Here we will show you step-by-step how to simplify the square root of 3123. The square root of 3123 can be written as follows:


	√	3123

The √ symbol is called the radical sign. To simplify the square root of 3123 means to get the simplest radical form of √3123.

Step 1: List Factors
List the factors of 3123 like so:

1, 3, 9, 347, 1041, 3123

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

1, 9

Step 3: Divide
Divide 3123 by the largest perfect square you found in the previous step:

3123 / 9 = 347

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 3123 in its simplest form:


3	√	347

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Decimal Form
Square Root of 3123 in Decimal form rounded to nearest 5 decimals:

55.88381

Exponent Form
Square Root of 3123 written with Exponent instead of Radical:

3123^½ = 3 x 347^½

Simplify Square Root of 3124
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* List of Perfect Squares