Simplify Square Root of 5456

Here we will show you step-by-step how to simplify the square root of 5456. The square root of 5456 can be written as follows:


	√	5456

The √ symbol is called the radical sign. To simplify the square root of 5456 means to get the simplest radical form of √5456.

Step 1: List Factors
List the factors of 5456 like so:

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456

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

1, 4, 16

Step 3: Divide
Divide 5456 by the largest perfect square you found in the previous step:

5456 / 16 = 341

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 5456 in its simplest form:


4	√	341

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Decimal Form
Square Root of 5456 in Decimal form rounded to nearest 5 decimals:

73.86474

Exponent Form
Square Root of 5456 written with Exponent instead of Radical:

5456^½ = 4 x 341^½

Simplify Square Root of 5457
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* List of Perfect Squares