Simplify Square Root of 6076

Here we will show you step-by-step how to simplify the square root of 6076. The square root of 6076 can be written as follows:


	√	6076

The √ symbol is called the radical sign. To simplify the square root of 6076 means to get the simplest radical form of √6076.

Step 1: List Factors
List the factors of 6076 like so:

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

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

1, 4, 49, 196

Step 3: Divide
Divide 6076 by the largest perfect square you found in the previous step:

6076 / 196 = 31

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6076 in its simplest form:


14	√	31

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Decimal Form
Square Root of 6076 in Decimal form rounded to nearest 5 decimals:

77.9487

Exponent Form
Square Root of 6076 written with Exponent instead of Radical:

6076^½ = 14 x 31^½

Simplify Square Root of 6077
The answer to Simplify Square Root of 6076 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares