
Here we will show you step-by-step how to simplify the square root of 348. The square root of 348 can be written as follows:
√ | 348 |
The √ symbol is called the radical sign. To simplify the square root of 348 means to get the simplest radical form of √348.
Step 1: List Factors
List the factors of 348 like so:
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 348 by the largest perfect square you found in the previous step:
348 / 4 = 87
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 348 in its simplest form:
2 | √ | 87 |
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Decimal Form
Square Root of 348 in Decimal form rounded to nearest 5 decimals:
18.65476
Exponent Form
Square Root of 348 written with Exponent instead of Radical:
348½ = 2 x 87½
Simplify Square Root of 349
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* List of Perfect Squares
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