Question

√12-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

√12-2 is equal to approximately 1.46.

Answer 2

[AI-generated answer — Explain Bot]

To compute the value of √12 - 2, we need to follow a few steps:

Step 1: Find the square root of 12.

The square root of 12 is an irrational number, but we can approximate it.

The closest perfect square to 12 is 9 (3^2 = 9). Since 12 is greater than 9, we know that the square root of 12 must be between 3 and 4.

We can refine the approximation using a better estimation method called the Babylonian method:

- Start with an initial guess, let's say 3.
- Take the average of the guess and the number divided by the guess: (guess + 12/guess)/2.
- Repeat this process until the guess does not change significantly.

Let's use this method to approximate the square root of 12:

Initial guess = 3:

(3 + 12/3)/2 = (3 + 4)/2 = 7/2 = 3.5

Next guess = 3.5:

(3.5 + 12/3.5)/2 = (3.5 + 3.42857)/2 = 6.92857/2 = 3.46429

Next guess = 3.46429:

Keep repeating this process until you obtain a satisfactory approximation.

Step 2: Subtract 2 from the square root of 12.

Once you have the approximate value for the square root of 12, simply subtract 2 from it:

Approximate √12 - 2

Please perform the calculations mentioned above to get a more accurate result.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To simplify the expression √12 - 2, we can start by finding the square root of 12.

Step 1: Find the square root of 12.
√12 = √(4 × 3) = √4 × √3 = 2√3

Step 2: Substitute the square root of 12 back into the original expression.
2√3 - 2

So, the simplified form of √12 - 2 is 2√3 - 2.