Question

What is the rationalizing factor of -5√7?
A) 5/√7
B) -√7/5
C) √7/5
D) -5/√7

Answer 1

The rationalizing factor of -5√7 is -√7/5. To rationalize the denominator, multiply both the numerator and denominator by the conjugate of the denominator, which is -√7. The final result is 5.

Step-by-step explanation:

The rationalizing factor of -5√7 is -√7/5 (option B).

To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of √7 is -√7. So, we have:
-5√7 * -√7 / (√7 * -√7) = -35 / (-√7 * √7) = -35 / -7 = 5.