Simplify Square Root of 5166

Here we will show you step-by-step how to simplify the square root of 5166. The square root of 5166 can be written as follows:


	√	5166

The √ symbol is called the radical sign. To simplify the square root of 5166 means to get the simplest radical form of √5166.

Step 1: List Factors
List the factors of 5166 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166

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

1, 9

Step 3: Divide
Divide 5166 by the largest perfect square you found in the previous step:

5166 / 9 = 574

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 5166 in its simplest form:


3	√	574

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Decimal Form
Square Root of 5166 in Decimal form rounded to nearest 5 decimals:

71.87489

Exponent Form
Square Root of 5166 written with Exponent instead of Radical:

5166^½ = 3 x 574^½

Simplify Square Root of 5167
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* List of Perfect Squares