
Here we will show you step-by-step how to simplify the square root of 5764. The square root of 5764 can be written as follows:
√ | 5764 |
The √ symbol is called the radical sign. To simplify the square root of 5764 means to get the simplest radical form of √5764.
Step 1: List Factors
List the factors of 5764 like so:
1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 5764 by the largest perfect square you found in the previous step:
5764 / 4 = 1441
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 5764 in its simplest form:
2 | √ | 1441 |
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Decimal Form
Square Root of 5764 in Decimal form rounded to nearest 5 decimals:
75.92101
Exponent Form
Square Root of 5764 written with Exponent instead of Radical:
5764½ = 2 x 1441½
Simplify Square Root of 5765
The answer to Simplify Square Root of 5764 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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