Question

To simplify the radical below, which of the following expressions would be multiplied by the radical?

2√15 / (-4- √12)
a. (-4 + √12) / (-4+√12)
b. (-4 + √12)
c. 1 / (-4 + √12)

Answer 1

In algebra, a conjugate is a binomial formed by negating the second term of a binomial. The conjugate of x + y is x − y, where x and y are real numbers. If y is imaginary, the process is termed complex conjugation: the complex conjugate of a + bi is a − bi, where a and b are real

Therefore the binomial to be multiplied is its conjugate which would be:

(-4 + √12) / (-4+√12)

I hope my answer has come to your help. God bless and have a nice day ahead!