Multiply each pair of conjugates

(2 sqrt6 +8) (2 sqrt6 -8)

-40

Step-by-step explanation:

(2 sqrt6 + 8) (2 sqrt6 - 8)

(2√6 + 8) (2√6 - 8)

2√6(2√6 - 8) + 8(2√6 - 8)

(2√6)^2 + (2√6 × -8) + (8 × 2√6) +(8 × -8)

(4 × 6) + (-16√6) + (16√6) + ( -64 )

24 - 16√6 + 16√6 - 64

24 - 64

-40

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~