sqrt 12 simplified
The simplified form of the square root of 12 is 2√3.
To simplify the square root of 12, you can factorize the number into its prime factors.
Step 1: Start by finding the prime factors of 12. 12 can be broken down as 2 x 2 x 3.
Step 2: Take out pairs of the same prime factors from the square root. We have one pair of 2s, so it can be taken out of the square root and written as a single 2.
Step 3: Multiply the numbers outside the square root together. In this case, it would be 2.
The simplified form of the square root of 12 is 2√3.
To simplify the square root of 12, you can break it down into its factors and simplify any perfect square factors:
1. Start by factoring the number inside the square root: 12.
- The factors of 12 are 1, 2, 3, 4, 6, and 12.
2. Look for perfect square factors, which are factors that can be written as the square of a whole number.
- In this case, 4 is a perfect square factor because it can be written as 2^2.
3. Rewrite the square root expression, replacing the perfect square factor with its square root.
- sqrt(12) = sqrt(4 * 3)
- Since 4 is a perfect square, we can simplify it as 2.
- sqrt(12) = sqrt(2^2 * 3)
- Simplify further: sqrt(2^2) = 2.
4. Combine any remaining factors inside the square root.
- sqrt(12) = 2 * sqrt(3)
Therefore, the simplified form of the square root of 12 is 2√3.