Question

Which choice is the conjugate of the expression below when x>= -5? 4 - sqrt x+5

Answer 1

Answer: The answer is C

Step-by-step explanation:

The conjugate of a binomial is formed by changing the sign between the two terms. In this case, the given binomial is: 4 - √(x+5) change the signs and it becomes 4 + √(x+5)

Therefore, the conjugate of 4 - √(x+5) is 4 + √(x+5). Note that the conjugate has the same terms, but with opposite signs between them.

Answer 2

The conjugate of the expression 4 - sqrt(x+5) is 4 + sqrt(x+5), which is used to simplify expressions involving radicals.

Step-by-step explanation:

The conjugate of a binomial expression that includes a square root typically involves changing the sign between the two terms while keeping the other parts of the terms the same. For the expression given, 4 - √(x+5), the conjugate would be 4 + √(x+5). This concept is used to remove the square root from the denominator of a fraction or to simplify the multiplication of binomial expressions that include radicals.