Simplify Square Root of 3078

Here we will show you step-by-step how to simplify the square root of 3078. The square root of 3078 can be written as follows:


	√	3078

The √ symbol is called the radical sign. To simplify the square root of 3078 means to get the simplest radical form of √3078.

Step 1: List Factors
List the factors of 3078 like so:

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078

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

1, 9, 81

Step 3: Divide
Divide 3078 by the largest perfect square you found in the previous step:

3078 / 81 = 38

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3078 in its simplest form:


9	√	38

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Decimal Form
Square Root of 3078 in Decimal form rounded to nearest 5 decimals:

55.47973

Exponent Form
Square Root of 3078 written with Exponent instead of Radical:

3078^½ = 9 x 38^½

Simplify Square Root of 3079
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* List of Perfect Squares