To simplify the square root of 12, we first look for the factors of 12 that are perfect squares. The number 12 can be factored into 4 and 3, where 4 is a perfect square.
So, we can rewrite the square root:
√12 = √(4 × 3)
Next, we can use the property of square roots that states that the square root of a product is the product of the square roots:
√12 = √4 × √3
Now, since √4 = 2, we can simplify further:
√12 = 2 × √3
Thus, the simplified form of the square root of 12 is 2√3.