
Here we will show you step-by-step how to simplify the square root of 2756. The square root of 2756 can be written as follows:
√ | 2756 |
The √ symbol is called the radical sign. To simplify the square root of 2756 means to get the simplest radical form of √2756.
Step 1: List Factors
List the factors of 2756 like so:
1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 2756 by the largest perfect square you found in the previous step:
2756 / 4 = 689
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 2756 in its simplest form:
2 | √ | 689 |
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Decimal Form
Square Root of 2756 in Decimal form rounded to nearest 5 decimals:
52.49762
Exponent Form
Square Root of 2756 written with Exponent instead of Radical:
2756½ = 2 x 689½
Simplify Square Root of 2757
The answer to Simplify Square Root of 2756 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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