
Here we will show you step-by-step how to simplify the square root of 5536. The square root of 5536 can be written as follows:
√ | 5536 |
The √ symbol is called the radical sign. To simplify the square root of 5536 means to get the simplest radical form of √5536.
Step 1: List Factors
List the factors of 5536 like so:
1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 5536 by the largest perfect square you found in the previous step:
5536 / 16 = 346
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 5536 in its simplest form:
4 | √ | 346 |
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Decimal Form
Square Root of 5536 in Decimal form rounded to nearest 5 decimals:
74.4043
Exponent Form
Square Root of 5536 written with Exponent instead of Radical:
5536½ = 4 x 346½
Simplify Square Root of 5537
The answer to Simplify Square Root of 5536 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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