what is the answer to this equation: 8(x+4)squared= 9?

Question

i have -4 plus minus , 2 infront of the square root of 3 divided by 2, but I don't know if it's right

Answer 1

8(x+4)² = 9
(x+4)² = 9/8
x+4 = ±√(9)/√8
x+4 = ±3/√8
x+4 = ±(3√2)/4
x = -4 ± (3/4)√2

so no, you're a little mixed up on simplifying the radical.

a/√b = (a/b)√b, or simply 1/√b = b/√b

Answer 2

x=-4+3/4*2^(1/2) or -4-3/4*2^(1/2)

So in words it is -4 plus/minus 3 divided by 4 times by square root of 2

Answer 3

(X-4)^2=9/8
X-4=(3root2)/4
x=4+or- (3root2)/4

Answer 4

-15.859375