Question

(18-n)^(1/2)=(n/8)^(1/2)

Answer 1

square both sides

18-n = n/8
144 - 8n = n
144 = 9n
n = 16

Answer 2

Thank you!

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation `(18-n)^(1/2) = (n/8)^(1/2)`, we need to eliminate the square roots by squaring both sides of the equation.

Step 1: Square both sides of the equation:

[(18-n)^(1/2)]^2 = [(n/8)^(1/2)]^2

Simplifying the exponents:

18 - n = n / 8

Step 2: Multiply both sides of the equation by 8 to eliminate the fraction:

8 * (18 - n) = 8 * (n / 8)

Simplifying both sides of the equation:

144 - 8n = n

Step 3: Combine like terms:

144 = 9n

Step 4: Divide both sides of the equation by 9 to solve for n:

n = 16

Therefore, the solution to the equation (18-n)^(1/2) = (n/8)^(1/2) is n = 16.