
Here we will show you step-by-step how to simplify the square root of 5136. The square root of 5136 can be written as follows:
√ | 5136 |
The √ symbol is called the radical sign. To simplify the square root of 5136 means to get the simplest radical form of √5136.
Step 1: List Factors
List the factors of 5136 like so:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 5136 by the largest perfect square you found in the previous step:
5136 / 16 = 321
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 5136 in its simplest form:
4 | √ | 321 |
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Decimal Form
Square Root of 5136 in Decimal form rounded to nearest 5 decimals:
71.66589
Exponent Form
Square Root of 5136 written with Exponent instead of Radical:
5136½ = 4 x 321½
Simplify Square Root of 5137
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* List of Perfect Squares
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