Simplify Square Root of 5144

Here we will show you step-by-step how to simplify the square root of 5144. The square root of 5144 can be written as follows:


	√	5144

The √ symbol is called the radical sign. To simplify the square root of 5144 means to get the simplest radical form of √5144.

Step 1: List Factors
List the factors of 5144 like so:

1, 2, 4, 8, 643, 1286, 2572, 5144

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

1, 4

Step 3: Divide
Divide 5144 by the largest perfect square you found in the previous step:

5144 / 4 = 1286

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5144 in its simplest form:


2	√	1286

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Decimal Form
Square Root of 5144 in Decimal form rounded to nearest 5 decimals:

71.72168

Exponent Form
Square Root of 5144 written with Exponent instead of Radical:

5144^½ = 2 x 1286^½

Simplify Square Root of 5145
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* List of Perfect Squares