What is sqrt(12) simplified?
√12 can be simplified as 2√3 or approximately 3.46.
To simplify the square root of 12, you can factorize it as follows:
sqrt(12) = sqrt(2 * 2 * 3)
Taking out the perfect square factors, we get:
sqrt(12) = sqrt(4 * 3)
Using the property of square roots, we can separate the square root of 4:
sqrt(12) = sqrt(4) * sqrt(3)
Since the square root of 4 is 2:
sqrt(12) = 2 * sqrt(3)
Therefore, sqrt(12) simplified is 2 * sqrt(3).
To simplify the square root of 12, you can factorize the number inside the square root.
1. Start by finding the prime factors of 12: 2 * 2 * 3.
2. Now, group the factors in pairs: 2 * 2 * 3 = (2 * 2) * 3 = 4 * 3.
3. Simplify each pair by taking one number out of the square root: sqrt(4) * sqrt(3).
4. The square root of 4 is 2, so the simplified expression becomes: 2 * sqrt(3).
Therefore, the simplified form of the square root of 12 is 2 * sqrt(3).