
Here we will show you step-by-step how to simplify the square root of 3488. The square root of 3488 can be written as follows:
√ | 3488 |
The √ symbol is called the radical sign. To simplify the square root of 3488 means to get the simplest radical form of √3488.
Step 1: List Factors
List the factors of 3488 like so:
1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4, 16
Step 3: Divide
Divide 3488 by the largest perfect square you found in the previous step:
3488 / 16 = 218
Step 4: Calculate
Calculate the square root of the largest perfect square:
√16 = 4
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3488 in its simplest form:
4 | √ | 218 |
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Decimal Form
Square Root of 3488 in Decimal form rounded to nearest 5 decimals:
59.05929
Exponent Form
Square Root of 3488 written with Exponent instead of Radical:
3488½ = 4 x 218½
Simplify Square Root of 3489
The answer to Simplify Square Root of 3488 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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