Here we will show you step-by-step how to simplify the square root of 12. The square root of 12 can be written as follows:
√ | 12 |
The √ symbol is called the radical sign. To simplify the square root of 12 means to get the simplest radical form of √12.
Step 1: List Factors
List the factors of 12 like so:
1, 2, 3, 4, 6, 12
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 12 by the largest perfect square you found in the previous step:
12 / 4 = 3
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 12 in its simplest form:
2 | √ | 3 |
Simplify Square Root Calculator
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Decimal Form
Square Root of 12 in Decimal form rounded to nearest 5 decimals:
3.4641
Exponent Form
Square Root of 12 written with Exponent instead of Radical:
12½ = 2 x 3½
Simplify Square Root of 13
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* List of Perfect Squares
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