Simplify Square Root of 5094

Here we will show you step-by-step how to simplify the square root of 5094. The square root of 5094 can be written as follows:


	√	5094

The √ symbol is called the radical sign. To simplify the square root of 5094 means to get the simplest radical form of √5094.

Step 1: List Factors
List the factors of 5094 like so:

1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094

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

1, 9

Step 3: Divide
Divide 5094 by the largest perfect square you found in the previous step:

5094 / 9 = 566

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 5094 in its simplest form:


3	√	566

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Decimal Form
Square Root of 5094 in Decimal form rounded to nearest 5 decimals:

71.37226

Exponent Form
Square Root of 5094 written with Exponent instead of Radical:

5094^½ = 3 x 566^½

Simplify Square Root of 5095
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* List of Perfect Squares