Simplify Square Root of 5194

Here we will show you step-by-step how to simplify the square root of 5194. The square root of 5194 can be written as follows:


	√	5194

The √ symbol is called the radical sign. To simplify the square root of 5194 means to get the simplest radical form of √5194.

Step 1: List Factors
List the factors of 5194 like so:

1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194

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

1, 49

Step 3: Divide
Divide 5194 by the largest perfect square you found in the previous step:

5194 / 49 = 106

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5194 in its simplest form:


7	√	106

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Decimal Form
Square Root of 5194 in Decimal form rounded to nearest 5 decimals:

72.06941

Exponent Form
Square Root of 5194 written with Exponent instead of Radical:

5194^½ = 7 x 106^½

Simplify Square Root of 5195
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* List of Perfect Squares