Simplify Square Root of 5344

Here we will show you step-by-step how to simplify the square root of 5344. The square root of 5344 can be written as follows:


	√	5344

The √ symbol is called the radical sign. To simplify the square root of 5344 means to get the simplest radical form of √5344.

Step 1: List Factors
List the factors of 5344 like so:

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344

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

1, 4, 16

Step 3: Divide
Divide 5344 by the largest perfect square you found in the previous step:

5344 / 16 = 334

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5344 in its simplest form:


4	√	334

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Decimal Form
Square Root of 5344 in Decimal form rounded to nearest 5 decimals:

73.10267

Exponent Form
Square Root of 5344 written with Exponent instead of Radical:

5344^½ = 4 x 334^½

Simplify Square Root of 5345
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* List of Perfect Squares