
Here we will show you step-by-step how to simplify the square root of 2744. The square root of 2744 can be written as follows:
√ | 2744 |
The √ symbol is called the radical sign. To simplify the square root of 2744 means to get the simplest radical form of √2744.
Step 1: List Factors
List the factors of 2744 like so:
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 49, 196
Step 3: Divide
Divide 2744 by the largest perfect square you found in the previous step:
2744 / 196 = 14
Step 4: Calculate
Calculate the square root of the largest perfect square:
√196 = 14
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2744 in its simplest form:
14 | √ | 14 |
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Decimal Form
Square Root of 2744 in Decimal form rounded to nearest 5 decimals:
52.3832
Exponent Form
Square Root of 2744 written with Exponent instead of Radical:
2744½ = 14 x 14½
Simplify Square Root of 2745
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* List of Perfect Squares
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