Answer:
4√7 - 8
Step-by-step explanation:
Here we have to multiply the numerator and the denominator by the conjugate of √7 + 2.
The conjugate of √7 + 2 is √7 - 2.
12 * ((√7 - 2) 12√7 - 24
------ --------------- = --------------
(√7 + 2) *(√7 - 2) (√7)^2 - 2^2
= (12√7 - 24) / (7 - 4)
= 3(4√7 - 8) / (3)
Cancelling out 3 both in the numerator and in the denominator, we get
= 4√7 - 8
Answer: 4√7 - 8
Thank you.
