Answer:
n = 288
Step-by-step explanation:
18 sqrt(8) - 8 sqrt(18) = sqrt(n)
18 sqrt(4*2) - 8 sqrt(9*2) = sqrt(n)
We know that sqrt(ab) = sqrt(a) sqrt(b)
18 sqrt(4) sqrt(2) - 8 sqrt(9) sqrt(2) = sqrt(n)
18*2 sqrt(2) - 8*3 sqrt(2) = sqrt(n)
36 sqrt(2) - 24 sqrt(2) = sqrt(n)
12 sqrt(2) = sqrt(n)
Square each side
(12 sqrt(2))^2 = (sqrt(n))^2
12^2*(sqrt(2))^2 = n
144 *2 =n
288 =n
