
Here we will show you step-by-step how to simplify the square root of 4804. The square root of 4804 can be written as follows:
√ | 4804 |
The √ symbol is called the radical sign. To simplify the square root of 4804 means to get the simplest radical form of √4804.
Step 1: List Factors
List the factors of 4804 like so:
1, 2, 4, 1201, 2402, 4804
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 4804 by the largest perfect square you found in the previous step:
4804 / 4 = 1201
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 4804 in its simplest form:
2 | √ | 1201 |
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Decimal Form
Square Root of 4804 in Decimal form rounded to nearest 5 decimals:
69.31089
Exponent Form
Square Root of 4804 written with Exponent instead of Radical:
4804½ = 2 x 1201½
Simplify Square Root of 4805
The answer to Simplify Square Root of 4804 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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