Simplify Square Root of 5054

Here we will show you step-by-step how to simplify the square root of 5054. The square root of 5054 can be written as follows:


	√	5054

The √ symbol is called the radical sign. To simplify the square root of 5054 means to get the simplest radical form of √5054.

Step 1: List Factors
List the factors of 5054 like so:

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054

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

1, 361

Step 3: Divide
Divide 5054 by the largest perfect square you found in the previous step:

5054 / 361 = 14

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

√361 = 19

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5054 in its simplest form:


19	√	14

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Decimal Form
Square Root of 5054 in Decimal form rounded to nearest 5 decimals:

71.09149

Exponent Form
Square Root of 5054 written with Exponent instead of Radical:

5054^½ = 19 x 14^½

Simplify Square Root of 5055
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* List of Perfect Squares