Here we will show you step-by-step how to simplify the square root of 294. The square root of 294 can be written as follows:
√ | 294 |
The √ symbol is called the radical sign. To simplify the square root of 294 means to get the simplest radical form of √294.
Step 1: List Factors
List the factors of 294 like so:
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 49
Step 3: Divide
Divide 294 by the largest perfect square you found in the previous step:
294 / 49 = 6
Step 4: Calculate
Calculate the square root of the largest perfect square:
√49 = 7
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 294 in its simplest form:
7 | √ | 6 |
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Decimal Form
Square Root of 294 in Decimal form rounded to nearest 5 decimals:
17.14643
Exponent Form
Square Root of 294 written with Exponent instead of Radical:
294½ = 7 x 6½
Simplify Square Root of 295
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* List of Perfect Squares
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