
Here we will show you step-by-step how to simplify the square root of 2748. The square root of 2748 can be written as follows:
√ | 2748 |
The √ symbol is called the radical sign. To simplify the square root of 2748 means to get the simplest radical form of √2748.
Step 1: List Factors
List the factors of 2748 like so:
1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 2748 by the largest perfect square you found in the previous step:
2748 / 4 = 687
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 2748 in its simplest form:
2 | √ | 687 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 2748 in Decimal form rounded to nearest 5 decimals:
52.42137
Exponent Form
Square Root of 2748 written with Exponent instead of Radical:
2748½ = 2 x 687½
Simplify Square Root of 2749
The answer to Simplify Square Root of 2748 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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