**Rationalizing the Denominator:**

Rationalizing the denominator involves eliminating any square roots or radicals in the denominator of a fraction. The process of rationalizing the denominator makes it easier to perform operations such as addition, subtraction, multiplication, and division with the fraction.

To rationalize the denominator of a fraction, we need to multiply both the numerator and the denominator by a suitable factor. In the case of 1 divided by the square root of 12 (1/√12), we can use a technique called conjugate multiplication.

**Conjugate Multiplication:**

The conjugate of a binomial expression is obtained by changing the sign of the second term. In the case of 1/√12, the conjugate is obtained by changing the sign of √12. Therefore, the conjugate of √12 is -√12.

To rationalize the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. In this case, we multiply 1/√12 by -√12/-√12.

**Multiplying and Simplifying:**

When multiplying the fraction 1/√12 by -√12/-√12, we have:

(1/√12) * (-√12/-√12) = -√12/-12

Simplifying further, we have:

-√12/-12 = -√(12/12) = -√1 = -1

Therefore, the rationalized form of 1/√12 is -1.

**Explanation:**

Multiplying both the numerator and the denominator of a fraction by the conjugate of the denominator eliminates the square root or radical from the denominator. The conjugate multiplication results in a rationalized form of the fraction, making it easier to perform further operations or simplify the expression.

In this case, we multiplied 1/√12 by -√12/-√12, which is the conjugate of √12. This operation allowed us to eliminate the square root from the denominator and simplify the expression to -1.

By following the process of conjugate multiplication, we rationalized the denominator and obtained the simplified form of the fraction.